Each exterior angle is 180-165 = 15 degrees and so it has 360/15 = 24 sides. It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.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.Answer: We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180 (n-2)/n, where n is the number of sides of the polygon. Explanation: …10. If an interior angle of a regular polygon measures 144 degrees, how many sides does it have? 24. If an exterior angle of a regular polygon measures 15 degrees, how many sides does it have? 146 degrees. If the measures of a heptagon are 127 degrees, 152 degrees, 112 degrees, 123 degrees, 135 degrees, and 105 degrees, what is the measure of ... Polygon has 12 sides - it is dodecagon. As the measure of the exterior angles of a regular polygon are 1/5 times the measure of its interior angles, each exterior angle of the regular polygon too will be 1/5 times the measure of its interior angle. Let the exterior angle be x and then interior angle would be 5x and as their sum is always …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 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...How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees? The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees). Related questions.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 …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.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...The n stands for the number of sides the polygon has. So, a pentagon has exterior angles that measure 360 / 5 = 72 degrees. The second angle is called the interior angle, which is the ...An irregular polygon has one angle 126 degrees and the rest 162 degrees. how many sides are there in this irregular polygon? ... Therefore your polygon has 10 sides. Share. Cite. Follow answered May 3, 2018 at 2:48. Joseph Joseph. 1 $\endgroup$ 1. 1 $\begingroup$ might be good to justify why do you do those operations. $\endgroup$ – …Crypto wallet Phantom will soon expand its support to include Ethereum and Polygon blockchains across browsers, iOS and Android. Phantom, a crypto wallet for Solana blockchain user...if you mean the sum of the interior angles, then it is 8640. the formula you use to find the sum of the interior angles of a polygon is (n-2)180, n being the number of sides. in this problem, you would plug in 50 for n, so 50-2=48, and 48x180=8640.5 Feb 2022 ... 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 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...Dec 19, 2015 · If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? Feb 6, 2024 · Polygon Calculator. Use this calculator to calculate properties of a regular polygon. Enter any 1 variable plus the number of sides or the polygon name. Calculates side length, inradius (apothem), circumradius, area and perimeter. Calculate from an regular 3-gon up to a regular 1000-gon. Units: Note that units of length are shown for convenience. A convex polygon has 44 diagonals. Hwo many sides does it have? ... Question 13 A polygon has prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is a) 4 b) 5 c) 7 d) 10. View Solution. Q5. A convex polygon has 44 diagonals , find no of 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.A polygon of n sides has n vertices. By joining any two vertices of a polygon, we obtain either a side or a diagonal of the polygon. Number of line segments obtained by joining the vertices of a n sided polygon taken two at a time. = Number of ways of selecting 2 out of n. =n C2 = n(n−1) 2. Out of these lines, n lines are the sides of the ...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.If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer Suryin =) Dec 19, 2015 the polygon is *heptagon (7-sided polygon) Explanation: Sum of interior ...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) 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 octagonIn a regular polygon, the line segments that make up the polygon have the same length and the interior angles are of equal measure. The measure of the interior angle of a regular polygon with n number of sides is given by: I n t e r i o r A n g l e = ( n − 2) 180 ∘ n.28 Jun 2020 ... "How many sides has a regular polygon, each angle of which is of measure `108^0` ?" 3.2K views · 3 years ago ...more ...Jul 9, 2017 · How many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer sjc Jul 9, 2017 #18 " sides "# ... 3 Oct 2011 ... So if we know that a pentagon adds up to 540 degrees, we can figure out how many degrees any sided polygon adds up to. Hexagon has 6, so we take ...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 ...Apr 28, 2022 · How many sides would a polygon have whose interior angles are exactly 179 degrees? Interior angles of any polygon with n sides always add up to 180(n-2) degrees. 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. How many sides has the polygon? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer Binayaka C. Dec 21, 2017 The polygon is Hexakaidecagon having #16# sides. Explanation: Exterior angle of regular polygon of #n# sides is #E=360/n# Interior angle ...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 ... 5 Feb 2022 ... 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 ...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? Show Answer. Use formula to find a single exterior angle in reverse and solve for 'n'.A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides). A minimum of three line segments is required to connect end to end, to make a closed figure. Thus a polygon with a minimum of three sides is known as Triangle and ... 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 = -360It'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 has 12 sides - it is dodecagon. As the measure of the exterior angles of a regular polygon are 1/5 times the measure of its interior angles, each exterior angle of the regular polygon too will be 1/5 times the measure of its interior angle. Let the exterior angle be x and then interior angle would be 5x and as their sum is always …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.The interior angle of a regular polygon is 156 deg. Hence each exterior angle is 180–156 = 24 deg. So the polygon has 360/24 = 15 sides. Suggest Corrections. 122.The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle. Therefore, the number of sides = 360° / 36° = 10 sides. Hence, …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? A polygon is a plane shape (two-dimensional) with straight sides. Examples include triangles, quadrilaterals, pentagons, hexagons and so on. Regular Here we look at Regular Polygons only. Properties So what can …Oct 18, 2017 · We have that the sides of the polygon is mathematically given as. n=20. Option C. From the question we are told . A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have? 10 12 18 20. Arithmetic. Generally the equation for the Polygon exterior angle is mathematically given as. n ... Solution. Verified by Toppr. A polygon has as many angles as sides. Like, triangle has 3 angles and 3 sides. Pentagon has 5 sides and 5 angles. Similarly, a decagon is a polygon which has 10 sides and thus, has 10 angles. Hence, option D is correct.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 ...Apr 28, 2022 · A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the ... 21 Oct 2013 ... regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon ...Nov 21, 2023 · Polygons aren't limited to the common ones we know but can get pretty complex and have as many sides as are needed. They can have 4 sides, 44 sides, or even 444 sides. 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. Each interior angle of a polygon is 135. How many sides does it have? (a) 10. (b) 8. (c) 6. (d) 5. Q. Tick ( ) the correct answer: Each interior angle of a polygon is 108°.In a regular polygon, the line segments that make up the polygon have the same length and the interior angles are of equal measure. The measure of the interior angle of a regular polygon with n number of sides is given by: I n t e r i o r A n g l e = ( n − 2) 180 ∘ n.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.How many sides does the polygon have? A. $$5$$ Open in App. Solution. Verified by Toppr. Correct option is A. $$5$$ Given, each side of a rectangular polygon is $$2.5$$ cm. Also give the perimeter of the polygon is $$12.5$$ cm. Then number of sides of the polygon $$=\dfrac{12.5}{2.5}=5$$.Apr 11, 2017 · If the sum of the measures of the interior angles of a polygon is 5400°, how many sides does it have? Geometry. 1 Answer CW ... Hence, the polygon has 32 sides. Jul 9, 2017 · How many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer sjc Jul 9, 2017 #18 " sides "# ... If you know the number of sides (n) you can find the size of each exterior angle of a regular polygon. 360 ÷ n = θ. Interior angle 168° → exterior angle = 180° −168° = 12°. 360 ÷ 12° = 30 sides. Answer link. 360 div 12° = 30 sides The only number that stays the same for the angles of all polygons is that the sum of the exterior ...Apr 28, 2022 · If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have? The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons. . In a regular polygon, the line segments that make up th18 May 2018 ... How many sides does polygon P have? (1) All s 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. 18 Jun 2014 ... Learn how to determine the number of sides of a regula 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 . How many sides does the polygon have? A. $$5$$ O...
Continue Reading