HOW MANY SIDES DOES A REGULAR POLYGON HAVE IF EACH OF ITS INTERIOR ANGLES IS 165 ?

interior angle = 165

exterior angle = 180-165 = 15 (linear pair)

sum of the exterior angle = 360

let sides = x 

then, 15x  = 360

x = 360/15 

x = 24

so, there are 24 sides of the regular polygon whose each interior angle is 165

Thankyou..!!!..

interior angle is 165. so exterior angle will be 180 - 165 = 15
15/360 = 24
a regular polygon has 24 sides.