Question

measure of each exterior angle of a regular polygon is 45° find the number of its sides

Answer 1

Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .Further as each exterior angle is 45o , each interior angle is 180o−45o=135o

Answer 2

Sum of the exterior angles of regular polygon = 360°

But each exterior angle = 45°

number of sides of regular polygon = 360° / 45° = 8.