SOLUTION: A regular polygon has an interior angle of 144 degree, calculate the number of sides polygon has
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Question 1093136
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A regular polygon has an interior angle of 144 degree, calculate the number of sides polygon has
Answer by
ikleyn(52813)
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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 =
= 10.
Answer
. Your polygon is decagon with 10 sides (vertices).