Question

An exterior angle of a regular polygon is 24 degrees.

Find:

a) the number of sides and

b) the measure of each interior angle.

Answer 1

The exterior angles of polygons add up to be 360, so you would divide 360 by 24 to get 15. You then subtract 24 from 180 (a straight angle) to get 156 as the interior angle measurement.

a. 15 sides
b. 156 degrees