Question

find the number of sides

Answer 1

hiii

interior angle = 165
exterior angle =(180 - 165) =15
n = 360/15 = 24

hope helps

Answer 2

Formula for magnitude of each interior angle of a regular polygon is {(2n-4)90}/n...where n is number of sides.

So, according to this...

165={(2n-4)90}/n
165n=(2n-4)/90
165n=180n - 360
360=180n-165n
15n=360
n=24
Number of sides is 24