In the given figure, ∠QRU = 74&

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, ∠QRU = 74°, ∠TRS = 20° and ∠PSR = 100°, then what is the value (in degrees) of ∠PRQ ?

Options:

30°

26°

34°

38°

Correct Answer:

26°

Explanation:

PQRS is a cyclic Quadrilateral:

Hence,

∠PQR = 180° - ∠PSR = 180° - 100° = 80°

In ΔPQR: ⇒ ∠RPQ = ∠QRU = 74°

Therefore,

∠PRQ = 180° - ∠RPQ - ∠RQP = 180° - 74° - 80° = 26°