Question

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

Answer 1

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.