Question

the sum of angles of a regular polygon is 5760°. Find the number of sides of the polygon.​

Answer 1

Given:

Sum of angles of a regular polygon = 5760º

To Find:

Number of sides of the polygon

EXPLANATION

Sum of angles of a polygon = (n - 2) x 180 where n is the number of sides.

SOLUTION

Find the number of side:

Sum of angles = (n - 2) x 180

(n - 2) x 180 = 5760

n - 2 = 5760 ÷ 180

n - 2 = 32

n = 32 + 2

n = 34

Answer: The polygon has 34 sides.