How many sides does a regular polygon have if each of its interior angles is 165°?

Let number of sides be n.
Exterior angle = 180°-165°=15°
Sum of exterior angles of a regular polygon = 360°
Number of sides = Sum of exterior angles/Each interior angle = 360°/15° = 24
Hence, the regular polygon has 24 sides.

Class 8 Maths Chapter 3 Exercise 3.2 Solution in Video

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