SSC CHSL 2024 PYQ — Question 65

The correct answer is option 1 i.e. 60°.

Applying the cosine rule, c² = a² + b² - 2ab × cosC

where c is the side opposite to ∠ACB.

In triangle ABC, a = BC, b = AC and c = AB

According to the given question,

$(\sqrt{3})^2$ = 1² + 2² - 2(1)(2) × cosC

⇒ 4cosC = 5 - 3

⇒ cosC = 1/2

⇒ Angle C = 60°