Multiple Choice Questions on ABCD is a cyclic quadrilateral and AD is a diameter If ang BAC 55 deg then value of ang ADC is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

ABCD is a cyclic quadrilateral and AD is a diameter If ang BAC 55 deg then value of ang ADC is ........

Quantitative Aptitude ( CCS) Geometry
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    ABCD is a cyclic quadrilateral and AD is a diameter. If ∠BAC = 55° then value of ∠ADC is

    55°

    Incorrect Answer

    35°

    Incorrect Answer

    145°

    Correct Answer

    125°

    Incorrect Answer
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    Explanation:


    ∠BAC = 55°
    ∠ACB = 90°      [?  Angle of semi-circle]
    In ΔABC, we know that
    ∠ABC = 180° – 90° – 55° = 35°
    ∴  ∠ABC + ∠ADC = 180°
    ∠ADC = 180° – ∠ABC
    = 180° – 35° = 145°

    By: Amit Kumar
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