Multiple Choice Questions on ABCD is a quadrilateral such that BC BA and CD gt AD Which one of the following is correct ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

ABCD is a quadrilateral such that BC BA and CD gt AD Which one of the following is correct ........

Quantitative Aptitude ( CCS) Geometry
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    ABCD is a quadrilateral such that BC = BA and CD > AD. Which one of the following is correct?

    ∠BAD = ∠BCD

    Incorrect Answer

    ∠BAD < BCD

    Incorrect Answer

    ∠BAD > ∠BCD

    Correct Answer

    2∠BAD = ∠BCD

    Incorrect Answer
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    Explanation:

    Join AC.
    Now, in ΔABC 

    ? AB = BC
    ∠BAC = ∠BCA ....(i)
    (angles opposite to equal side)
    In ΔADC,
    CD > AD
    ∠DAC > ∠DCA
    (Since in a triangle opposite to greater side is bigger than the angle opposite to smaller side)
    On adding Eq. (i) and (ii), we get
    ∠BAD > ∠BCD

    By: Amit Kumar
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