Question

The sum of the interior angles of a regular polygon is 2 , 880 ° . Find the number of sides of the polygon.

Answer 1

Sum of the interior angles = 2,880° Therefore, assuming a convex or regular polygon and using the summation formula (n - 2) 180°, we have

(n - 2) 180° = 2,880° Solve for n

n - 2 = 16 Add 2 to both sides of the equation

n = 18

Explanation:

(n - 2) 180° = 2,880° Solve for n

n - 2 = 16 Add 2 to both sides of the equation

n = 18