If each exterior angle of a regular polygon measures 36∘, then it has
10
Given, exterior angle = 36∘.
∵ Sum of exterior angles in a polygon = 360∘
Since the polygon is regular all its sides and angles will be equal.
⇒ n × exterior angle = 360∘ (where, n is the number of sides in the polygon)
⇒n=360∘exterior angle
=360∘36∘
= 10
∴ Number of sides of a regular polygon having exterior angle 36∘ is 10.