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Calculate the number of sides of a regular polygon with sum interior angles of 2160°.

User Madmax
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1 Answer

2 votes

Answer:

14 sides

Explanation:

The sum of all interior angles of a polygon = (n - 2)180°

2160° = (n - 2)180°


n - 2 = (2160 \degree)/(180 \degree) \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14

Hence, the polygon has 14 sides.

User Harsh Parikh
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