Question

What is the number of sides in a regular polygon when the measure of each interior angle is 162?

Answer 1

20

Explanation:

interior angle + exterior angle = 180°

162° + exterior angle = 180° ( subtract 162° from both sides )

exterior angle = 18°

the sum of the exterior angles of a polygon = 360° , then

number of sides = 360° ÷ 18° = 20