Question

find the number of sides of regular polygon is interior angle is 165 degree

Answer 1

exterior angle= 180-165= 15°
therefore,
no.of side= 360°/ exterior angle= 360°/15°= 24 sides will be the answer

Answer 2

interior angle of a polygon formula = 180(n-2)/n (n= number of sides) so given interior angle = 165 degree, by applying formula we get 180(n-2)/n = 165 => 180n-360=165n=> n=24