UPSC CDS 1 2022 Math Paper

Formula Used:
Sum of interior angles of a polygon of n sides =(n−2)×180∘
Sum of exterior angles of a polyon of n sides =360∘
Calculation:
According to the question
Required ratio =‌

(n−2)×180∘

360∘

⇒ Required ratio =‌

(n−2)

2

∴ The ratio of interior and exterior angles of a polygon of n side is ‌

(n−2)

2

.