Solution:
Given that ,Interior angle, x=165°
Therefore , exterior angle = (180-x)
=(180°−165°)=15°
We know that the sum of all exterior angles of any polygon is 360 degree.
Therefore number of sides
=360° ÷ each exterior angle
=360° ÷ 15°
= 24
So, the number of sides a regular polygon has if its interior angle is 165° are 24.
