Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the figure, ΔPQR, PT ⊥ QR at T and PS is the bisector of ∠QPR. If ∠PQR = 76°, and ∠TPS = 22°, then the measure of ∠PRQ is.

Options:

28°

32°

48°

50°

Correct Answer:

32°

Explanation:

∠TPS = \(\frac{1}{2}\) (∠Q - ∠R)

⇒ 22° = \(\frac{76°\;-\;∠R}{2}\)

⇒ 44° = 76° - ∠R

∠R = 32°