The measure of each angle of a regular polygon is 162. How many sides does the polygon have?

If all interior angles are 162, polygon has 20 sides.

Explanation:

Questioner has mentioned that a polygon has interior angles of 162 It is assumed from this that all interior angles are 162.

As interior angles are 162, each exterior angle is 180-162=18.

Sum of all the exterior angles of a polygon is always 360 and as each exterior angle is 18,

Number of angles / sides of polygon are 360 / 18 = 20