In ΔPQR, QT ⊥ PR and S i

CUET Preparation Today

Start Free Mocks

Home Questions XZKH9Q6BZP

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔPQR, QT ⊥ PR and S is a point on QR such that ∠PSQ = x°, ∠TQR = 38° and ∠SPR = 40°, then the value of x is?

Options:

Correct Answer:

Explanation:

∠POT = 180° - (90° + 40°) = 50°

In ΔPTQ

∠POT = ∠QOS = 50° (opposite angle)

∠PSQ = x° = 180° - (50° + 38°) = 92°