Chapter 7 Angles and Polygons

Question

Find the measure of each interior angle and each exterior angle of a regular pentagon.

The measure of each interior angle is ____ , and the measure of each exterior angle is ____.

Answer 1

The sum of the measures of the interior angles of a pentagon is 3 * 180 = 540. Each interior of a regular pentagon would thus be 540/5 = 180

The sum of the measures of the exterior angles of any polygon is 360. Each exterior angle of a regular polygon would thus be 360/5 = 72.