In the given figure, if QP || ST, then f

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, if QP || ST, then find the measure of $\angle PQR$.

Options:

75°

72°

67°

39°

Correct Answer:

72°

Explanation:

BT is a straight line.

So, ∠BSR = 180º - 2x

QP is parallel to ST

∠PQB = ∠QBS = X

QR is a straight line.

So, ∠RBS = 180º - X

In triangle BSR ,

180º - 2x + 180º - X + 36º = 180º

3x = 216º

x = 72º

The correct answer is Option (2) → 72°