If each interior angle of a regular polygon is $150^{\circ}$, then the number of sides is:

If each interior angle of a regular polygon is $150^{\circ}$, then the number of sides is:
  1. $10$
  2. $12$
  3. $15$
  4. $18$

Solution

Each exterior angle $= 180 - 150 = 30^{\circ}$. Number of sides $= \dfrac{360}{30} = 12$.

Asked in: IMO

Practice more UNDERSTANDING QUADRILATERALS questions on Aicharya