Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the Figure in △PQR, PT ⊥ QR at T and PS is the bisector of ∠QPR. If ∠PQR = 78°, and ∠TPS = 24° then the measure of ∠PRQ is

Options:

42°

39°

30°

40°

Correct Answer:

30°

Explanation:

As we know,

\(\angle\)TPS = (\(\angle\)TQP - \(\angle\)PRQ)/2

24 = (78 - \(\angle\)PRQ)/2

78 - \(\angle\)PRQ = 24 x 2 = 48

\(\angle\)PRQ = 78 - 48 = \({30}^\circ\)