4. How many sides does a regular polygon have if each of its interior angles is 165°?
The measure of each interior angle is 165°
So, measure of each exterior angle = 180°-165° = 15°
Regular polygon has all exterior angles equal.
Let number of sides of polygon = n
Sum of Exterior angles of a polygon =
Hence,regular polygon having each of its interior angles is 165° has 24 sides.