In the given figure, if OQ = QR, then th

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Home Questions 3B6CXGY33V

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, if OQ = QR, then the value of m is?

Options:

2n°

n°

5n°

3n°

Correct Answer:

3n°

Explanation:

In ΔOQR

OQ = QR

∠ORQ = ∠QOR = n°

∠PQO = ∠PRQ + ∠QOR = 2n° (exterior angle)

In ΔPOQ

∠PQO = ∠QPO = 2n (radius)

Now, in ΔPOR

∠POS = ∠ORP + ∠OPR (exterior angle)

∠POS = n + 2n = 3n°