Question

The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides. 15

Answer 1

Interior angle = 165 degrees

Number of sides = 24

Explanation:

Interior angle + exterior angle = 180 degrees.

Interior angle + 15 = 180

Interior angle = 165 degrees.

To find the number of sides, we can do 360 divided by the exterior angle.

360 / 15 = 24

The polygon has 24 sides.

Hope this helps!