Question

Find the measure of each exterior angle of the polygon.

The measure of each exterior angle is
°.

Answer 1

below

Explanation:

The INTERIOR angles of a n-gon sum to ( n-2)(180)

for an octogon (8-2)(180) = 1080 °

so each INTERIOR angle = 1080 / 8 = 135°

Exterior angles are supplementary to this 135 + x = 180 x = 45°

Another easier way exterior angles sum to 360

360 / 8 = 45°