Multiple Choice Questions on A B C D are four points on a circle AC and BD intersect at a point E such that ang BEC 130 deg and a........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A B C D are four points on a circle AC and BD intersect at a point E such that ang BEC 130 deg and a...........

Quantitative Aptitude ( CCS) Geometry
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    A, B, C, D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130° and ∠ECD = 20°, ∠BAC is

    120°

    Incorrect Answer

    140°

    Incorrect Answer

    130°

    Incorrect Answer

    110°

    Correct Answer
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    Explanation:


    We know that, Exterior angle is equal to the sum of two interior opposite angles.
    ∴  ∠BEC = ∠EDC + ∠ECD
    130° = ∠EDC + 20°
    ∠EDC = 110°
    ∴  ∠BAC = ∠EDC = 110°
    [?  Angles on the same arc]

    By: MIRZA SADDAM HUSSAIN
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