Question

The ratio between the interior angle and the exterior angle of a regular polygon is 3:2.

Find:

a. The measure of each interior angle of the polygon.

b. The measure of each exterior angle of the polygon.

Answer 1

Interior Angle + Exterior Angle = 180°

3x + 2x = 180°

5x = 180°

x = 36°

a. 3x = 3 × 36° = 108°

b. 2x = 2 × 36° = 72°