Question

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

Answer 1

Answer:

14 sides

Step-by-step explanation:

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

2160° = (n - 2)180°

$n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14$

Hence, the polygon has 14 sides.