Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔPQR, the side QR is extended to S such that RS = PR.  If ∠QPS = 120° and ∠PRQ = 60°, then the value of ∠PQR is?

Options:

70°

100°

150°

30°

Correct Answer:

30°

Explanation:

∠PRS = 180° - ∠PRQ = 120°

In ΔPRS :-

PR = RS

∠P = ∠S = 30°

∠QPR = 120° - ∠RPS =  120° - 30° = 90°

∠PQR = 180° - (90° + 60°) = 30°