Question

how many sides does a regular polygon have if each of interior angle is 165 degrees

Answer 1

Sum of All interior angles in a n sided regular polygon = (n-2)×180
so 1 angle of interior angle in that polygon = (n-2)×180/n
Acc to que.
(n-2)×180/n= 165
180n-360=165n
180n-165n=360
15n =360
n=360/15
n= 24