Multiple Choice Questions on In the trapezium PQRS QR PS ang Q 90 deg PQ QR and ang PRS 20 deg If ang TSR theta then the value of........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

In the trapezium PQRS QR PS ang Q 90 deg PQ QR and ang PRS 20 deg If ang TSR theta then the value of...........

Quantitative Aptitude ( CCS) Geometry
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    In the trapezium PQRS, QR || PS, ∠Q = 90°, PQ = QR and ∠PRS = 20°. If ∠TSR = θ, then the value of θ is :

    75°

    Incorrect Answer

    65°

    Incorrect Answer

    55°

    Correct Answer

    45°

    Incorrect Answer
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    Explanation:
    In the given figure,
    PQ = QR and ∠PQR = 90°
    ⇒ ∠QPR = ∠QRP = 45°.
    ∴ ∠QRS = (45° + 20°) = 65°.
    ∴ θ = ∠QRS = 65° (alt. ∠s)

    By: Amit Kumar
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