SSC CGL 2024 PYQ — Question 73

SSC CGL - 11 Sep 2024 - Shift 3 • Quantitative Aptitude • Q73

In a ΔABC, if 121\over2 ∠A + ∠B + ∠C = 120°, then the value of 14\frac {1}{4} ∠A is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 30°.

∠A + ∠B + ∠C = 180°         ----- (1)

Given,

(1/2)∠A + ∠B + ∠C = 120°        ----- (2)

Solving equation (1) and (2),

⇒ (1/2)∠A = 60°

⇒ (1/4)∠A = 30°