Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In equilateral ΔPQR, S and T are points on the PQ and PR, respectively, such that PS = RT. QT and RS intersect at O. The measure of ∠ROQ is ?

Options:

90°

100°

150°

120°

Correct Answer:

120°

Explanation:

ΔRQT ≅ ΔPRS

∴  PS = RT

∠QRT = ∠SPR = 60°

QT = SR

∴ S and T are mid points

∠TQR = ∠QRS = 30°

∠QOR = 180° - 30° - 30°  =  120°