SSC CGL 9 Aug 2015 Shift 2 Paper

Question : 135 of 200

Marks: +1, -0

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

Solution:

Number of sides of polygon = n (let).
According to the question,

{(2n-4)×90°}/n

{360°}/n

3/1

⇒

{(2n-4)×90°}/{360°}

3/1

⇒

{2n-4}/4

3/1

⇒ 2n – 4 = 4 × 3 = 12
⇒ 2n = 12 + 4 = 16
⇒ n =

{16}/2

= 8

Go to Question:

Prev Question

Next Question