Multiple Choice Questions on ABCD is a cyclic trapezium such that AD BC if ang ABC 70 deg then the value of ang BCD is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

ABCD is a cyclic trapezium such that AD BC if ang ABC 70 deg then the value of ang BCD is ........

Quantitative Aptitude ( CCS) Geometry
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    ABCD is a cyclic trapezium such that AD || BC, if ∠ABC = 70°, then the value of ∠BCD is :

    60°

    Incorrect Answer

    70°

    Correct Answer

    40°

    Incorrect Answer

    80°

    Incorrect Answer
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    Explanation:

    ∠ABC + ∠CDA = 180°
    ∠CDA = 180° – ∠ABC = 180° – 70° = 110°
    We know that,
    ∠BCD + ∠CDA = 180°
    ∴ ∠BCD = 180° – ∠CDA = 180° – 110° = 70°

    By: Amit Kumar
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