Question

find the number of sides of a regular polygon whose each interior angle is 165 degrees

Answer 1

4 side is the solution in 165 degrees

Answer 2

The measure of each interior angle of n sided regular polygon

=> ( n - 2 ) × 180°

-----------------
n

=> 165° = ( n - 2 ) ×180°
-------------------
. n

=> 165° = 180° n - 360°

=> 360° = 180° n - 165°n

=> 360° = 15° n

=> 15°n = 360°

=> n = 360°
--------
15°


=> n = 24

NUMBER OF SIDES = 24......