SOLUTION: A regular polygon has an interior angle of 144 degree, calculate the number of sides polygon has

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Question 1093136: A regular polygon has an interior angle of 144 degree, calculate the number of sides polygon has
Answer by ikleyn(52813) About Me  (Show Source):
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Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.

For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.

Hence, the number of sides = the number of vertices = 360%2F36 = 10.

Answer. Your polygon is decagon with 10 sides (vertices).