Question

Find the measures of an exterior angle and an interior angle given a regular polygon with 14 sides. Round to the nearest tenth, if necessary.

Answer 1

The sum of the exterior angles is 360. 360/14 = 25.7 would be the measure of one exterior angle.

The sum of the interior angles is 1260. 1260/14 = 154.3 would be the measure of on interior angle.

Explanation:

(n-2)180

n is the number of sides

(14-2)180

12(180) 1260

This is the sum of the interior angles of the polygon.

1260/14 = 154.3 Is the measure of one angle.