# What is the Number of Sides of the Polygon? If

The ratio of each interior angle to each exterior angle or a regular polygon is 3:1. The number of sides of the polygon is:

- 8
- 9
- 6
- 7

**Answer: (1) 8**

**Explanation:-
**

**Formula-**

Interior angle = (2n – 1) x 90/n

Where, n = number of side in a polygon.

Exterior angle = 360/n

According to the question,

Then, (2n – 4) x 90/360 = 3: 1

2n – 4/4 = 3/ 1

2n – 4 = 12

2n = 12 + 4

2n = 16

n = 16/2

n = 8

Then,the number of sides in the polygon is 8.

Hence, the answer is (1) 8.