Each interior angle of a regular polygon measures 162 degrees How many sides does the polygon have?

I believe it may be a 20-sided polygon (a 20-gon).

Usually the interior and exterior angles add up to 180.

180 - 162 = 18

So 18 is the exterior angle.

Since the exterior angles add up to 360 degrees

360/18 = 20

There you have your answer.