Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In equilateral ΔPQR, S and T are points on the sides PQ and PR respectively, such that PS = TR, QT and SR intersect at Z. The measure of ∠QZR is?

Options:

30°

100°

120°

160°

Correct Answer:

120°

Explanation:

ΔRQT ≅ ΔPRS

∴ SP = TR

∠QRT = ∠SPR = 60°

⇒ QT = SR

S and T are midpoints

∠TQR = ∠QRS = 30°

∠QZR = 180° - 30° - 30° = 120°