Question

If the interior angle of a regular polygon is double the exterior angle, the number of sides in the polygon is

• A. 3
• B. 5
• C. 6
• D. 7

Answer 1

The correct option is C

6

It is given that the polygon is regular.

Let exterior angle = e°

Interior angle = 2e° (given)

In a regular polygon,

interior angle + exterior angle = 180°

2e + e = 180°

3e = 180°

e = 60°

Number of sides (n) = $\frac{360°}{\text{exterior angle}}$

= $\frac{360°}{60°}$

= 6

Hence (C)