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.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 octagonThe formula for the no. of diagonals of a ’n' sided polygon is n (n-3)/2 . It works for triangle (0 diagonals) , quadrilateral (2 diagonals) , pentagon (5 diagonals) and for every another polygon. Let's come to the problem. No. Of diagonals = n (n-3)/2 = 27. The polygon has 9 sides. It is a Nonagon.Nonagon, 9 sided polygon has nine 140 degree interior angles. triangles, 3 sided polygons have 180 degrees. rectangles, 4 sided polygons have 360 degrees. 5 or more sided polygons have greater than 360 degrees. there are no polygons with just 140 degrees. You might say 2 coinciding lines are a degenerate polygon with 2 sides and 0 …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) 10A regular polygon has 5 times as many diagonals as it has sides. How many vertices does the polygon have? The total number of sides in two regular polygons is 13, and the total number of diagonals is 25. How many sides are in each polygon?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 = -360The number of sides in a polygon can vary, and different polygons have different shapes and side lengths. For example, a triangle has three sides, a quadrilateral has four …Mar 16, 2020 · In any polygon a pair of sides that are inclined to each other meet at a point. This point is called a vertex of the polygon. In the polygon there are as many vertices as there are sides. The triangle has 3 sides and 3 vertices. 23 Jan 2023 ... If the polygon has n sides, the sum of its interior angles is 180*(n - 2) degrees. 180*(n - 2) = 7560 (n - 2) = 7560/180 = 42 n = 42 + 2 ...Polygons are primarily classified by the number of sides. Convexity and intersection Polygons may be characterized by their convexity or type of non-convexity: Convex: any …A 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 ) = 1260The 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 ...Th measure of an interior angle (a) of a regular polygon of n sides is given by: Set this equal to 170 and solve for n. Multiply both sides by n. Simplify the right side. Subtract 170n from both sides. Add 360 to both sides. Finally, divide both sides by 10. The regular polygon has 36 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 octagonDec 19, 2015 · If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? Apr 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: 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 ...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 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.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) 10A 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.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...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 ...Join BYJU'S Learning Program. 11. A polygon has 170 diagonals. How many sides will it have? A) 12 B) 17 C) 20 D) 25.A regular polygon has 5 times as many diagonals as it has sides. How many vertices does the polygon have? The total number of sides in two regular polygons is 13, and the total number of diagonals is 25. How many sides are in each polygon?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.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 angSum 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 …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 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 ... Aug 3, 2023 · How many Sides does a Polygon Have. It should have a minimum of three sides but can have any maximum number of sides. A polygon is usually named based on the number of sides it contains. A polygon with n sides is called an n-gon. Given below is the list of common polygons: 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 "# ... 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 ...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 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 "# ... Answer: 20 sides. Work Shown: E = exterior angle = 18 degrees. n = number of sides of a regular polygon. n = 360/E. n = 360/18. n = 20. This is a 20 sided regular polygon.It is considered a regular icosagon.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 …Get free real-time information on MATIC/JPY quotes including MATIC/JPY live chart. Indices Commodities Currencies Stocks65. 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.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...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.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 …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...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.A 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 ) = 1260Nov 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. Jan 12, 2020 · Geometry Help Please. 0. 2428. 3. The number of diagonals in a certain regular polygon is equal to four times the number of sides. How many sides does this polygon have? There was a question similar to this except it was 5 times the number of sides, please help me. Thanks! 18 Jun 2014 ... Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines.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 …Each exterior angle of a regular polygon measures 30 degrees How many sides does the polygon have? A regular polygon has equal angles and sides. Therefore, consider 0 degrees as a starting direction. At every corner, you turn 30 degrees to the left, until you end up back where you started. A full rotation is 360 degrees. Divide by 30, and …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 ...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 …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 …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 ...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 triangle is a three-sided polygon, and a quadrilateral iThe number of sides is the same as the number of vertices. Answ 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 …18 Jun 2014 ... regular polygon is a polygon whose sides are congruent (equal). The ... How many sides does a regular polygon have if given one interior angle. How many sides does a polygon have when the sum of the mea 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 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, … How many sides would a regular polygon have with an interior ang...
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