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

Question

asked Oct 11, 2022 92.4k views

1 Answer

Harsh Parikh · Answer 1 · 2022-10-16T17:10:05+0000

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.