Question

How many sides does a regular polygon have if one of it's interior angles measure 162?

Answer 1

If you are given the measure of each interior angle (162 degrees) of a regular polygon. how many sides does the polygon have? If you look at a pentagon first where the interior angle is 108 deg then you see. The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.
Hope this helps you !!

Answer 2

Answer: 20 sides

Step-by-step explanation: The work is attached in the image provided.