SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 56 of 100

Marks: +1, -0

The interior angle of a regular polygon exceeds its exterior angle by 108°. The number of the sides of the polygon is

Solution:

(4) Let the number of sides of regular polygon be n.
According to the question,

{(2 n-4) × 90°}/{n}- {360°}/{n}=108

⇒{(2 n-4) × 5}/{n}- {20}/{n}=6

⇒ 10 n-20-20=6 n

⇒ 10 n-6 n=40

⇒ 4 n=40 ⇒n=40 ÷ 4=10

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