A Polygon Whos Exterior Angles Are 15 Degrees?


The sum of all exterior angles of a polygon equals 360 degrees. Therefore if a regular polygon has exterior angles of 15 degrees then the number of sides must be 360/15 = 24.

Is it possible to have a regular polygon having each (i) exterior angle 50 (ii) interior angle 100

6.1B Polygon Exterior Angle Measures


Frequently Asked Questions

is a 24-sided polygon.

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Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.

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60°= 360°/n. or, n = 360°/60° = 6 sides. Answer.

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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

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Polygon Exterior Angle Sum Theorem If a polygon is a convex polygon, then the sum of its exterior angles (one at each vertex) is equal to 360 degrees. Let us prove this theorem: Proof: Consider a polygon with n number of sides or an n-gon.

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Since the figurehas 10sides each exterior angleis 36 degrees and each interior angleis 180 – 36 = 144 degrees. What is the exterior angle of a hexagon? Answer and Explanation:The measure of each exterior angleof a regular hexagonis 60 degrees. The sum of the exterior anglesof all regular polygons equal 360 degrees.

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