Question

Assume the 72-gon is a regular polygon. The measure of one interior angle is how many

degrees, and the measure of one exterior angle is how many degrees?

Answer 1

9514 1404 393

Answer:

• interior: 175°
• exterior: 5°

Explanation:

The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.

exterior angle = 360°/72 = 5°

The interior angle is the supplement of this.

interior angle = 180° -5° = 175°

The measure of one interior angle is 175°; one exterior angle is 5°.