Question

The sum of the angle of a regular polygon is 2520 . how many sides does the polygon have​

Answer 1

157.5 degrees.

Explanation:

2520=180×14. To match the 180×(n-2) of the theorem,n-2= 14 or n=16.

Each interior angle of a regular hexadecagon(16-sided) is 2520/16= 157.5 degrees.

Answer 2

16 sides

Explanation:

Sum of Angles in Polygon = 180(n-2)

2520 = 180(n-2)

n-2 = 14

n = 16

n = sides in polygon