Question

find the number of sides of a regular polygon if each interior angle is 165°

Answer 1

Hi!
Hope this helps you ...
Measure of each exterior angle = 180° − 165° = 15°
The sum of all exterior angles of any polygon is 360º.
Thus, number of sides of the polygon.
=360/15=24.

Answer 2

Answer:

Measure of each exterior angle = (180 - 165)° = 15°

We know that,

Sum of all exterior angles of many polygon is 360°

So ,

Number of sides of the polygon

= 360/15 = 24 ( Ans )