Multiple Choice Questions on The side QR of an equilateral triangle PQR is produced to the point S in such a way that QR RS and P........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The side QR of an equilateral triangle PQR is produced to the point S in such a way that QR RS and P...........

Quantitative Aptitude ( CCS) Geometry
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    The side QR of an equilateral triangle PQR is produced to the point S in such a way that QR = RS and P is joined to S. Then the measure of ∠ PSR is

    30°

    Correct Answer

    15°

    Incorrect Answer

    60°

    Incorrect Answer

    45°

    Incorrect Answer
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    Explanation:


    ∠PRQ = 60°
    [?  ΔPQR is an equilateral]
    ∠PRS = 180° – 60° = 120°
    ∠PSR + ∠RPS = 180° – 120° = 60°
    ...(i)
    As QR = RS
    ∴  PR = RS
    [?  ΔPQR is an equilateral]
    ∴  ∠PSR = ∠RPS
    From Eq (i),
    2∠PSR = 60°
    ∴  ∠PSR = 30°

    By: Amit Kumar
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