Multiple Choice Questions on In the adjoining figure ang ABC 100 deg ang EDC 120 deg and AB DE Then ang BCD is equal to ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

In the adjoining figure ang ABC 100 deg ang EDC 120 deg and AB DE Then ang BCD is equal to ........

Quantitative Aptitude ( CCS) Geometry
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    In the adjoining figure, ∠ABC = 100°, ∠EDC = 120° and AB || DE. Then, ∠BCD is equal to :

    80°

    Incorrect Answer

    60°

    Incorrect Answer

    40°

    Correct Answer

    20°

    Incorrect Answer
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    Explanation:
    In the given figure,
    Produce AB to meet CD at F.
    ∠BFD = ∠EDF = 120° (alt. ∠s)
    ∠BFC = (180° ? 120°) = 60°.
    ∠CBF = (180° ? 100°) = 80°.
    ∴ ∠BCF = 180° ? (60° + 80°) = 40°.

    By: Amit Kumar
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