SSC CGL 2024 PYQ — Question 51

SSC CGL - 18 Sep 2024 - Shift 1 • Quantitative Aptitude • Q51

If ∆ABC and ∆QPR are congruent triangles such that AB = 7 cm, AC = 8 cm, ∠B = 65°, and ∠C = 75°, then which of the following is true?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. PQ = 7 cm and ∠R = 75°.

∆ABC and ∆QPR are congruent triangles then,

AB = PQ, BC = QR, and AC = PR

⇒ ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R

So, as per the given option

⇒ PQ = 7 cm and ∠R = 75°