Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, PQR is a triangle in which ∠P : ∠Q : ∠R = 8 : 5 : 2, and PR is perpendicular to RS. What will be the measure of ∠TRS?

Options:

96°

60°

85°

66°

Correct Answer:

66°

Explanation:

Here, ratio of angels;

P : Q : R = 8 : 5 : 2 = 15

15 Unit = 180°

1 Unit = 12°

P = 8 Unit = 96°, Q = 60°

∠PRT = ∠p + ∠Q (exterior angle of ΔPQR)

∠PRT = 96° + 60° = 156°

∠TRS = ∠PRT - ∠PRS = 156° - 90° = 66°