Each exterior angle of a regular polygon is $36^{\circ}$. The number of sides is:

Each exterior angle of a regular polygon is $36^{\circ}$. The number of sides is:
  1. $8$
  2. $10$
  3. $12$
  4. $15$

Solution

Number of sides $n = \dfrac{360}{\text{exterior angle}} = \dfrac{360}{36} = 10$.

Asked in: IMO

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