Question

If the measure of an exterior angle of a regular polygon is 15 how many sides does it have to show your work

what is the measure of an interior angle show work

Answer 1

Answer: 24 sides

Interior Angle: 165°

Explanation:

The sum of all exterior angles of a polygon equals 360 degrees.

Therefore if a regular polygon has exterior angles of 15 degrees then the number of sides must be 360/15 = 24

The total of the interior angles would be 3960 degrees, which you would divide by 24, the number of sides there are.