Question

The sum of interior angles of a regular polygon is 24 times the size of the exterior angle.Find the number of sides of the polygon.

Answer 1

Step-by-step explanation:

n(n-2) ×180°=24×360°

n(n-2)=48°

n^2-2n=48°

by guessing the value of n be 8

verification:

8^2+2×8=48