Best Answer. Copy. The interior angles of any n-sided polygon always total (2n - 4) right angles or 180n - 360 degrees. In this instance (180n - 360)/n = 172 ie 180n - 360 = 172n which simplifies to 8n = 360 so there are 360/8 ie 45 sides to your polygon. Another method is based on the fact that the exterior angles are 360/n degrees.See full list on mathsisfun.com Apr 26, 2017 · If the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon have? Get the answers you need, now! if the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon - brainly.com Apr 28, 2022 · How many sides does a regular polygon with an interior angle of 176 degrees have? Interior angles = 176 degrees so exterior angles = 180 - 176 = 4 degrees. Sum of exterior angles = 360 so there must be 360/4 = 90 of them. It is a 90 sided polygon. Transcribed image text: Each exterior angle in a regular polygon has a measure of 18°. How many sides does the polygon have? CA. 10 O B. 18 C C. 20 С D. 36.It's possible to figure out how many sides a polygon has based on how many degrees are in its exterior or interior angles. Problem 11 If each exterior angle measures 10°, how many sides does this polygon have? Polygon is just a fancy word for a planar (flat/two-dimensional) shape with straight sides. Triangles and squares are polygons, but circles and ovals are not. The …Find a formula that relates the sides of a polygon to the total diagonals that it has. eg: 3 sided polygon, 0 diagonals, 4 sided, 2 diagonals, 5 sided, 5 diagonals, 6 sided, 9 diagonals, 7 sided, 14 diagonals, 8 sided, 20 diagonal, etc.A regular polygon has 150º as the size of each interior angle. How many sides does it have? A. 12 B. 10 C. 9 D. 8 Correct Answer: Option A Explanation. Sum of interior angles of a polygon = each interior ∠ x n (n-2)180 = 150 x n 180n - 360 = 150n 180n-150n = 360 30n = 360 n = 360/30 n = 12 sides.Nov 30, 2015 · How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles ... 360o 72o = 5. The Regular Polygon with Exterior Angles of 72o is a Pentagon. Answer link. See a solution process below: The Exterior Angles of a Regular Polygon always add up to 360°: Therefore, we can divide 360^o by 72^o to find the number of sides: 360^o/72^o = 5 The Regular Polygon with Exterior Angles of 72^o is a Pentagon.Tick ( ) the correct answer: The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? How many sides does the polygon have? (a) 16 (b) 14 (c) 12 (d) 10Verified by Toppr. Number of diagonals in any n sided polygon is = Total Number of Lines connected two points − Total number of sides of polygon. So we have n points so total number of lines is =n C2, because we have to choose two points from n points. Total number of sides = n. So Number of diagonals = n(n−1) 2 −n. Number of diagonals ...Verified by Toppr. Number of diagonals in any n sided polygon is = Total Number of Lines connected two points − Total number of sides of polygon. So we have n points so total number of lines is =n C2, because we have to choose two points from n points. Total number of sides = n. So Number of diagonals = n(n−1) 2 −n. Number of diagonals ... A regular polygon has interior angles of 144 degrees. How many sides does the polygon have? 0 . 999 . 2 . A regular polygon has interior angles of 144 degrees. How many sides does the polygon have?An apeirogon can be defined as a partition of the Euclidean line into infinitely many equal-length segments. In geometry, an apeirogon (from Ancient Greek ἄπειρος apeiros 'infinite, boundless', and γωνία gonia 'angle') or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the two-dimensional case of ...Dec 13, 2016 · 18 sides A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°. For a regular polygon, the size of each exterior angle, theta can be found from: theta = (360°)/n" "larr where n = number of sides Using this property, if you know the size of the exterior angle, you can find the number of sides. n = (360°)/(20°) =18 ... The next lesson in:Polygons 2 (Interior and Exterior)is:Find missing angles when two or more polygons are joined. Subjects Schedule. In this lesson, we will find the number of sides of a polygon when given only the sum of interior angles.If the sum of interior angles of a polygon is 1080°, then the polygon has ____ sides. View Solution. Q4. If each interior angle of a regular polygon is 150°, then the polygon has ___ sides. View Solution. Q5. How many sides does a regular polygon has if each of it's interior angle is 120 ...A regular polygon has interior angles of 144 degrees. How many sides does the polygon have? 0 . 999 . 2 . A regular polygon has interior angles of 144 degrees. How many sides does the polygon have?18 Jun 2014 ... regular polygon is a polygon whose sides are congruent (equal). The ... How do you find the measure of one interior angle of a polygon. Brian ...Feb 25, 2018 · 6 sides; Hexagon The formula to find the interior angle of a polygon is (180(n-2))/n (n being the number of sides of the polygon). Since we know the interior angle of the polygon which is 120, therefore we can produce this equation, (180(n-2))/n=120 From here we use algebra to solve n. 180n-360=120n 60n=360 n=6 therefore Polygon has 6 sides Ex 3.2, 4 (Introduction) How many sides does a regular polygon have if each of its interior angles is 165°?Let there be a triangle ∆ ABC where ∠ A = 22° Let ∠ 1 be the exterior angle Since BAD is a line ∠ BAC + ∠1 = 180° ∠ 1 = 180° − 22° ∠ 1 = 158° So, in a polygon Interior angA certain polygon has three angles that measure 120 degrees and the rest of its angles measure 150 degrees. How many sides does the polygon have? That polygon has 9 sides ( 9-2) * 180 = 1260 ( 3 * 120 ) + ( 6 * 150 ) = 1260It's possible to figure out how many sides a polygon has based on how many degrees are in its exterior or interior angles. Problem 11. If each exterior angle measures 10°, how many sides does this polygon have? Show Answer. Use formula to find a single exterior angle in reverse and solve for 'n'.A polygon is a closed 2-D shape that is made up of three or more straight lines. A polygon has at least three sides. Each side of the line segment intersects with another line …A triangle is a three-sided polygon, and a quadrilateral is a four-sided polygon. Quadrilaterals have several variations, such as parallelograms , trapezoids , …File previews. pdf, 231.73 KB. Exam questions love to use angle reasoning to work out the number of sides a polygon has. This worksheet is aimed at practising that skill whilst also consolidating work on interior and exterior angles of regular polygons.Solution. The correct option is A 5. A diagonal is formed by joining opposite vertices. A polygon with 5 sides has 5 diagonals. Suggest Corrections. 7.The sum of the interior angles in a polygon depends on the number of sides it has. The Polygon Sum Formula states that for any n − gon, the interior angles add up to ( n − 2) × 180 ∘. → n = 8 ( 8 − 2) × 180 ∘ 6 × 180 ∘ 1 080 ∘. Once you know the sum of the interior angles in a polygon it is easy to find the measure of ONE ...The sum of the interior angles in a polygon depends on the number of sides it has. The Polygon Sum Formula states that for any n − gon, the interior angles add up to ( n − 2) × 180 ∘. → n = 8 ( 8 − 2) × 180 ∘ 6 × 180 ∘ 1 080 ∘. Once you know the sum of the interior angles in a polygon it is easy to find the measure of ONE ...18 May 2018 ... How many sides does polygon P have? (1) All sides of P have equal lengths. (2) The sum of the measures of the interior angles of P is ...a regular polygon has one interior angle that measures 160 degrees. how many sides does it have?-----Since it's a regular polygon, all the interior angles are equal, so they're all 160 degs. The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degs. 160 = 180*(n-2)/n 160n = 180n - 360-20n = -360Apr 8, 2023 · Six is the number of sides that the polygon has. This is a hexagon, so we can check this reasoning by finding the interior angle to be 120 degrees, which is the measure of the interior angle of a hexagon. The general formula using the exterior angles of a regular polygon follows: How many sides does the polygon have if it has an interior angle which is 3 times the exterior angle? Providing that it is a regular polygon it will have 8 sides. If a regular polygon has an interior angle of 157.5 degrees how many sides does?3 May 2021 ... the number of sides of a regular polygon given the exterior angle. To do this divide 360 by the number of sides. If you have the interior ...Feb 28, 2018 · Anyway, we can name the number of sides s and the number of angles a. Because every polygon has the same number of sides and angles (because they are closed figures with non-intersecting lines), a=s. Since all the angles are congruent, 30a=360, and a=12. Since a=s, s=12, so the polygon has 12 sides. (This polygon has a short name: a dodecagon). How many sides does a polygon have with 1620 degrees? An 11 sided polygon has interior angles that add up to 1620 degrees. How many sides would a polygon have if the measure of the interior angles is 1620 degrees? It will have 11 sides.Victoria V. sorry, Mark is right. It is n-2 that is multiplied by 180, this would change the answer to 22 = n-2, so n=24 and polygon has 24 sides.12 sides. By the Exterior Angle Formula, the sum of the exterior angles in any polygon is 360°. Since the polygon is regular, all the angles are congruent. This is very important: if the polygon was not regular, the exterior angles could be 30°, 170°, and 160°! Anyway, we can name the number of sides s and the number of angles a. Because …It has five sides and five angles, all of which are the same length or size. The shape on the right is an irregular pentagon. Each side is a different length. Each angle is a different …What is the number of sides a regular polygon has if one interior angle measures 170? The regular polygon number of sides 'n' has angles = (n-2)X180/n So, 170=(n-2)X180/n 170n=180n-360 10n=360 n=36. Hence, the polygon has 36 sides.22 Sept 2016 ... VIII-Exercise 3.2 Q.4 How many sides does a regular polygon has if each of its interior angle is165. KEY 4 LEARNING + AXIOM COACHING CLASS ...A polygon is a plane figure that has “at least three straight sides and angles,” according to Oxford Dictionaries. However, polygons can have more than three sides; most have five ...A polygon with seven sides is called a heptagon. A polygon is a closed geometric shape that has at least three sides and angles. Polygons consist of adjoining line segments and are...Regular star polygons can be created by connecting one vertex of a simple, regular, p-sided polygon to another, ... The {5/2} star pentagon is also known as a pentalpha or pentangle, and historically has been considered by many magical and religious cults to have occult significance. The {7/2} and {7/3} ...A pentagon is the name for a five-sided polygon. However, there are different types of five-sided polygons, such as irregular, regular, concave and convex pentagons. If, in a five-...Regular polygon has 50 sides. As each interior angle is 172.8^@, each exterior angle is 180^@-172.8^@=7.2^@ But as sum of exterior angles is always 360^@ there are 360/7.2=50 angles Hence, regular polygon has 50 sides.6 days ago ... how many sides does the polygon haveDo all polygons have 4 sides? Can a polygon have 12 sides? Does a polygon have 8 sides?Verified. Hint: We are given a regular polygon whose exterior angle is 15 degrees and we have to find the sides of the polygon. We know that the sum of the exterior angles of a polygon is \ [ { {360}^ {\circ }}\]. So, if we divide the total sum of the exterior angle of a polygon by the exterior angle, then, we will get the value of the number ...The reason is that the only that is sure is that sum of all exterior angles of any polygon is always 360^@. As one angle is 12^@, only thing you can say is that sum of remaining angles is 360^@-12^@=348^@. You do not know about other angles and number of sides could be any number. For example, if other angles are 1^@ each, we may have …Polygon definition. A polygon is a plane figure that closes in a space using only line segments. If it must use only line segments and must close in a space, the polygon with the fewest sides has to be the triangle (three sides and interior angles). Polygon; the word means "many angles," but it ignores one attribute: straight sides.How many sides does polygon has? A) 10. b) 8. c) 9. d) 13 . Open in App. Solution. Sum of exterior and interior angles is 180 deg. If the interior angle is 3x, the exterior angle is x. Hence 3x+x = 4x = 180 or x = 45. The interior angle is 135 deg. So the polygon has 360/45 = 8 sides or it is a regular octagonA six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides… Polygon Names. The names of polygons are derived from the ...The polygon has 20 sides. So, n = 20. Sum of the exterior angles of polygons = 360° So, each exterior angle = 360°n = 360°20 = 18° Example 4: The sum of the interior angles of a polygon is 1620°. How many sides does it have? Solution: Sum of the interior angles of a polygon with n sides = (n – 2) × 180° 1620° = (n – 2) × 180° n ...Sep 28, 2016 · 360/60 = 6 " sides" The sum of the exterior angles of any Polygon is 360°. If it is a regular polygon you can find the size of an exterior angle by dividing 360° by the number of sides. If you know the size of the exterior angle, just do the opposite. Divide 360° by the size of the exterior angle to find the number of sides. Ext angle = 360/n Number ofsides: n = 360/"ext angle" 360/60 = 6 ... A number of investors including Sequoia Capital India and Steadview Capital are in talks to back Polygon, which operates a framework for building and connecting Ethereum-compatible...Verified by Toppr. Number of diagonals in any n sided polygon is = Total Number of Lines connected two points − Total number of sides of polygon. So we have n points so total number of lines is =n C2, because we have to choose two points from n points. Total number of sides = n. So Number of diagonals = n(n−1) 2 −n. Number of diagonals ... Apr 28, 2022 · How many sides does a regular polygon with an interior angle of 176 degrees have? Interior angles = 176 degrees so exterior angles = 180 - 176 = 4 degrees. Sum of exterior angles = 360 so there must be 360/4 = 90 of them. It is a 90 sided polygon. Sum of Angles of a Polygon. , how many sides does this polygon have? Click here:point_up_2:to get an answer to your question :writing_hand:how many sides does a regular polygon has if each of its interior angle is.A number of investors including Sequoia Capital India and Steadview Capital are in talks to back Polygon, which operates a framework for building and connecting Ethereum-compatible...It has five sides and five angles, all of which are the same length or size. The shape on the right is an irregular pentagon. Each side is a different length. Each angle is a different …Question 258119: If each angle of a regular polygon has measure 160, how many sides does the polygon have? ... (Show Source):. You can put this solution on YOUR ...Victoria V. sorry, Mark is right. It is n-2 that is multiplied by 180, this would change the answer to 22 = n-2, so n=24 and polygon has 24 sides.Answer: n n = 5 sides side length a = inradius r = circumradius R = area A = perimeter P = interior angle x = exterior angle y = Get a Widget for this Calculator © …A polygon can have any number of sides that is three or greater. The number of sides determines the type of polygon; for example, a triangle has three sides, a …Solution. The correct option is A 5. A diagonal is formed by joining opposite vertices. A polygon with 5 sides has 5 diagonals. Suggest Corrections. 7.Sum of Angles of a Polygon. , how many sides does this polygon have? Click here:point_up_2:to get an answer to your question :writing_hand:how many sides does a regular polygon has if each of its interior angle is.Mar 16, 2018 · If an interior angle of a regular polygon measures 144 degrees how many sides does it have ? Geometry. 1 Answer Mahek ☮ Mar 16, 2018 #color ... Expand each binomial. (x^5 + 2y)^7 (x5 +2y)7. 1 / 4. Find step-by-step Geometry solutions and your answer to the following textbook question: A convex polygon can be decomposed into 47 triangles. How many sides does the polygon have? Explain.. A convex polygon has 44 diagonals. Hwo many sides does it have? Hwo many sides does it have? (clue : No. of diagonals in a covex polygon = n ( n − 3 ) / 2 ; where n = sides in the polygon)If a polygon is a regular polygon with n sides, and each interior angle is 179 degrees, then its interior angles will add up to 179 n. In both cases, you must get the same result for what the interior angles add up to. So: 179n = 180 (n-2). Multiply out the 180. -n = -360, so therefore n = 360 and it would have 360 sides.Sum of the interior angles of a polygon with n sides = (n – 2) × 180° For example: Consider the following polygon with 6 sides. Here, ∠a + ∠b + ∠c + ∠d + ∠e + ∠f = (6 – 2) × 180° = 720° (n = 6 as given polygon has 6 …Web3 gaming firm Immutable and layer-2 blockchain Polygon partnered to accelerate development and adoption in the crypto gaming space. Web3 gaming firm Immutable and layer-2 blockc...Regular star polygons can be created by connecting one vertex of a simple, regular, p-sided polygon to another, ... The {5/2} star pentagon is also known as a pentalpha or pentangle, and historically has been considered by many magical and religious cults to have occult significance. The {7/2} and {7/3} ...How Many Sides Does a Regular Polygon Have (With Examples) ... As we know, a polygon is any shape having three or more sides, a regular polygon can be made of any ...Number of diagonals of a convex polygon of n sides is (n(n-3))/2 Let there be a polygon ( I am assuming a convex polygon) of n sides. Let us consider its one vertex. This does not form a diagonal with itself as well as immediate two neighbouring vertices, hence it can for diagonals with remaining (n-3) vertices, (n-3) diagonals Hence …A plane or 2D shape has 2 Dimensions (such as width and height) but no thickness. Regular Polygons. A polygon is a 2D shape with straight sides. To be a regular polygon all the sides and angles must be the same: Triangle - 3 Sides: Square - 4 Sides: Pentagon - 5 Sides: Hexagon - 6 sides: Heptagon - 7 Sides: Octagon - 8 Sides:How many sides does polygon has, ,
A polygon with 14 sides can have at most 14 lines of symmetry. This would occur if the polygon was a regular polygon (i.e. all its sides would have to be equal and all its angles would have to be equal). The lines of symmetry would run between the midpoints of opposite sides and between opposite vertices.. How many sides does polygon has
How many sides does a regular polygon have if the measure of an angle is 160? No regular polygon has 160. The "smallest" polygon is the triangle, which has 180o. ^^FALSE!!!!!!! this polygon has 18 sides!How many sides does a polygon have when the sum of the measure of its interior angles is 900? The formula for the sum of the measures of the interior angles of a regular polygon is (n-2)180. Set this equal to 900 and solve for n to find the number of sides in the polygon. 900 = 180(n-2) 900 = 180n - 360 180n = 1260 n = 1260/180 n = 7 ...The number of sides is the same as the number of vertices. Answer link. 40 If the interior angle is 171^@ then the exterior angle is 180^@-171^@ = 9^@. The total of the exterior angles is 360^@, so the number of vertices must be 360^@/9^@ = 40. The number of sides is the same as the number of vertices.a regular polygon has one interior angle that measures 160 degrees. how many sides does it have?-----Since it's a regular polygon, all the interior angles are equal, so they're all 160 degs. The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degs. 160 = 180*(n-2)/n 160n = 180n - 360-20n = -360Jan 11, 2016 · 24 The exterior angles of a polygon always add up to 360 degrees. Given this a regular polygon, all the angles are equal and all the sides are equal. The number of sides is therefore 360/15 = 24 360/60 = 6 " sides" The sum of the exterior angles of any Polygon is 360°. If it is a regular polygon you can find the size of an exterior angle by dividing 360° by the number of sides. If you know the size of the exterior angle, just do the opposite. Divide 360° by the size of the exterior angle to find the number of sides. Ext angle = 360/n …Tick ( ) the correct answer: The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? How many sides does the polygon have? (a) 16 (b) 14 (c) 12 (d) 10Regular polygon has 50 sides. As each interior angle is 172.8^@, each exterior angle is 180^@-172.8^@=7.2^@ But as sum of exterior angles is always 360^@ there are 360/7.2=50 angles Hence, regular polygon has 50 sides.Nov 8, 2016 · The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have? 14 16 18 20 You know what the formula for the number of diagonals in a polygon is, and you know that the polygon has 90 diagonals, so plug 90 in for the answer and solve for n: Thus, n equals 15 or –12. But because a polygon can’t have a negative number of sides, n must be 15. So you have a 15-sided polygon (a pentadecagon, in case you’re curious).The sum of the interior angles in a regular polygon is given by the formula 180 (n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180 (8 – 2) = 180 (6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.29 Nov 2022 ... How many sides has a regular polygon, each angle of which is 108°. 76 views · 1 year ago ...more. Easy Maths with Vikas Dogra. 2.73K.Best Answer. Copy. You can find the number of diagonals in a polygon using the formula n (n-3)/2, where n is the number of sides. Therefore an 11 sided polygon has 44 diagonals. Wiki User. ∙ 9y ago.Apr 28, 2022 · Best Answer. Copy. It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon. Wiki User. We can learn a lot about regular polygons by breaking them into triangles like this: Notice that: the "base" of the triangle is one side of the polygon. the "height" of the triangle is the "Apothem" of the polygon. Now, the area of a triangle is half of the base times height, so: Area of one triangle = base × height / 2 = side × apothem / 2. 18 Jun 2014 ... regular polygon is a polygon whose sides are congruent (equal). The ... How do you find the measure of one interior angle of a polygon. Brian ...The key is to recognise that the paper’s edge forms a quadrilateral with the shown part of the polygon. Since the two angles that aren’t part of the polygon add up to 80 o , and a quadrilateral’s angles add up to 360 o , you can conclude that the polygon angles add up to 280 o , and therefore each angle in the polygon is 140 o .Feb 28, 2018 · Anyway, we can name the number of sides s and the number of angles a. Because every polygon has the same number of sides and angles (because they are closed figures with non-intersecting lines), a=s. Since all the angles are congruent, 30a=360, and a=12. Since a=s, s=12, so the polygon has 12 sides. (This polygon has a short name: a dodecagon). What is an interior angle of a regular polygon having 90 diagonals showing key stages of work? It must have 15 sides to comply with the formula:- 0.5*(152-(3*15)) = 90 diagonals So: 360/15 = 24 degrees and 180-24 = 156 degrees Therefore: each interior angle measures 156 degrees360/60 = 6 " sides" The sum of the exterior angles of any Polygon is 360°. If it is a regular polygon you can find the size of an exterior angle by dividing 360° by the number of sides. If you know the size of the exterior angle, just do the opposite. Divide 360° by the size of the exterior angle to find the number of sides. Ext angle = 360/n …A triangle is a three-sided polygon, and a quadrilateral is a four-sided polygon. Quadrilaterals have several variations, such as parallelograms , trapezoids , …Transcribed image text: Each exterior angle in a regular polygon has a measure of 18°. How many sides does the polygon have? CA. 10 O B. 18 C C. 20 С D. 36.The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.The next lesson in:Polygons 2 (Interior and Exterior)is:Find missing angles when two or more polygons are joined. Subjects Schedule. In this lesson, we will find the number of sides of a polygon when given only the sum of interior angles.A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides… Polygon Names. The names of polygons are derived from the ...Number of sides a regular polygon has. 1. Rotation angle of regular polygon that has largest taxicab maginitude between all vertices. 1. What is the height of a regular polygon? 3. Does the sum of exterior angles of a simple, convex polygon truly = 360°? 1. Number of Acute Angle in an N sides polygon. 0.28 Oct 2020 ... 2 Answers By Expert Tutors ... The total number of degrees of the interior angles is given by (n-1)*180. ... n = 23 Your polygon has 23 sides.65. The equation to figure the number of diagonal lines for any polygon is n (n-3)/2. n= number of vertices. It will have 13 sides because 0.5* (132-39) = 65 diagonals.Feb 28, 2018 · Anyway, we can name the number of sides s and the number of angles a. Because every polygon has the same number of sides and angles (because they are closed figures with non-intersecting lines), a=s. Since all the angles are congruent, 30a=360, and a=12. Since a=s, s=12, so the polygon has 12 sides. (This polygon has a short name: a dodecagon). Jan 31, 2023 · Download Article. 1. Define the formula. The formula to find the number of diagonals of a polygon is n (n-3)/2 where “n” equals the number of sides of the polygon. Using the distributive property this can be rewritten as (n 2 - 3n)/2. You may see it either way, both equations are identical. The next lesson in:Polygons 2 (Interior and Exterior)is:Find missing angles when two or more polygons are joined. Subjects Schedule. In this lesson, we will find the number of sides of a polygon when given only the sum of interior angles.A pyramid is a polyhedron that may be formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form an isosceles triangle, called a lateral face. [3] The edges connected from the polygonal base's vertices to the apex are called lateral edges. [4] Historically, the definition of a pyramid has been described by ...A plane or 2D shape has 2 Dimensions (such as width and height) but no thickness. Regular Polygons. A polygon is a 2D shape with straight sides. To be a regular polygon all the sides and angles must be the same: Triangle - 3 Sides: Square - 4 Sides: Pentagon - 5 Sides: Hexagon - 6 sides: Heptagon - 7 Sides: Octagon - 8 Sides:Sep 28, 2016 · 360/60 = 6 " sides" The sum of the exterior angles of any Polygon is 360°. If it is a regular polygon you can find the size of an exterior angle by dividing 360° by the number of sides. If you know the size of the exterior angle, just do the opposite. Divide 360° by the size of the exterior angle to find the number of sides. Ext angle = 360/n Number ofsides: n = 360/"ext angle" 360/60 = 6 ... The polygon has 8 sides. Explanation: To find the number of sides in a polygon given the sum of the interior angle measures, we can use the formula: Sum of Interior Angle Measures = (n - 2) * 180° Where 'n' represents the number of sides in the polygon. In this case, we plug in the given value: 1080° = (n - 2) * 180° Simplifying the …Answer – A regular polygon with each interior angle measuring 165° has 24 sides. Let’s assume that the number of sides of the given regular polygon is n. Then, the number of interior angles = the number of sides = n. Further, the sum of the interior angles = the measure of each interior angle the number of sides. We also know that the sum ...A plane or 2D shape has 2 Dimensions (such as width and height) but no thickness. Regular Polygons. A polygon is a 2D shape with straight sides. To be a regular polygon all the sides and angles must be the same: Triangle - 3 Sides: Square - 4 Sides: Pentagon - 5 Sides: Hexagon - 6 sides: Heptagon - 7 Sides: Octagon - 8 Sides:The polygon has 8 sides. Explanation: To find the number of sides in a polygon given the sum of the interior angle measures, we can use the formula: Sum of Interior Angle Measures = (n - 2) * 180° Where 'n' represents the number of sides in the polygon. In this case, we plug in the given value: 1080° = (n - 2) * 180° Simplifying the …The correct option is D12Each interior angle of the polygon= 150∘Each exterior angle of the polygon(180∘−150∘)= 30∘∴ Number of sides of this polygon = 360° 30° = 12Hence, Number of sides = 12. Suggest Corrections. 147.The first polygon has 1982 sides and second has 2973 sides. If the polygons have common vertices , the number of such vertices is \(\text{_____}.\) Submit your answer. Given the regular octagon of side length 10 with eight equilateral triangles inside, calculate the white area to 3 decimal places.The perimeter of the polygon = 17.5 cm. Since we know that the perimeter is the sum of all the sides of a polygon. So, we need to divide the perimeter by the given side to get the number of sides of the given polygon. Complete step-by-step solution: As it is given that, the polygon is regular. Therefore, the length of each side of the polygon ...Dec 11, 2023 · Dodecagon: 12 Sides. Not to be confused with a decagon, a dodecagon has just two more sides for a total of 12. 12 sides and 12 angles make this shape unique from the others. As you can see, the name is very similar to "decagon" which has 10 sides. The "do" prefix just means add 2 to 10 which gives you 12. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.Answer: n n = 5 sides side length a = inradius r = circumradius R = area A = perimeter P = interior angle x = exterior angle y = Get a Widget for this Calculator © …A regular polygon has interior angles that are 5 times larger than each of its exterior angles. How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles of a dodecagon are #30^@#, so they sum to #12xx30^@ = 360^@# The interior angles ...Oct 10, 2023 · A regular convex polygon with an exterior angle measure of 20° has 18 sides. Explanation: When a regular convex polygon has an exterior angle measure of 20°, we can use the formula 360° divided by the exterior angle to find the number of sides. In this case, 360° divided by 20° equals 18. Therefore, the polygon has 18 sides. A polygon of n sides has n (n − 3) 2 diagonals. If a polygon has 9 diagonals, find the number of sides of the polygon. If a polygon has 9 diagonals, find the number of sides of the polygon. View SolutionLet us find the number of sides a regular polygon with an interior angle of 108°. ⇒ 180(n−2)/n = 108° ⇒ 180n − 360 = 108n. ⇒ 72n = 360. ⇒ n = 5. So, a regular polygon with an interior angle of 108° would have 5 sides. Hence, we can use the formula of interior angle of a polygon to find the number of sides of a polygon. interior ... Use the exterior angle sum property of the polygon to find the number of sides: It is given that a regular polygon has the measure of an exterior angle 24 °. (number of sides) × (the measure of each exterior angle) = 360 ° [Using exterior …The key is to recognise that the paper’s edge forms a quadrilateral with the shown part of the polygon. Since the two angles that aren’t part of the polygon add up to 80 o , and a quadrilateral’s angles add up to 360 o , you can conclude that the polygon angles add up to 280 o , and therefore each angle in the polygon is 140 o .If a polygon is a regular polygon with n sides, and each interior angle is 179 degrees, then its interior angles will add up to 179 n. In both cases, you must get the same result for what the interior angles add up to. So: 179n = 180 (n-2). Multiply out the 180. -n = -360, so therefore n = 360 and it would have 360 sides.Answer: D. 12. Step-by-step explanation: Since it is a regular polygon, all of its interior angles are equivalent. Now, we know that for regular polygons, if we divide the exterior angle measure into 360, we get the number of sides, which means we have a …Number of diagonals of a convex polygon of n sides is (n(n-3))/2 Let there be a polygon ( I am assuming a convex polygon) of n sides. Let us consider its one vertex. This does not form a diagonal with itself as well as immediate two neighbouring vertices, hence it can for diagonals with remaining (n-3) vertices, (n-3) diagonals Hence …Get free real-time information on CHF/MATIC quotes including CHF/MATIC live chart. Indices Commodities Currencies StocksWhat is an interior angle of a regular polygon having 90 diagonals showing key stages of work? It must have 15 sides to comply with the formula:- 0.5*(152-(3*15)) = 90 diagonals So: 360/15 = 24 degrees and 180-24 = 156 degrees Therefore: each interior angle measures 156 degrees. Plenty of fish search without registering,