HOW MANY SIDES DOES A REGULAR POLYGON HAVE IF EACH OF ITS INTERIOR ANGLES IS 165 ? Share with your friends Share 2 Tushar Kohli answered this @maitreyee : Good Effort! Keep Posting! 1 View Full Answer Maitreyee Sethi answered this interior angle = 165exterior angle = 180-165 = 15 (linear pair)sum of the exterior angle = 360let sides = x then, 15x = 360x = 360/15 x = 24so, there are 24 sides of the regular polygon whose each interior angle is 165 24 Gowri Jayakrishnan answered this Thankyou..!!!.. 1 Srishti Singh answered this interior angle is 165. so exterior angle will be 180 - 165 = 1515/360 = 24a regular polygon has 24 sides. 6 Gowri Jayakrishnan answered this Thanks..@Srishti 1