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    In the given figure, choose a pair of adjacent angles -
    Question

    In the given figure, choose a pair of adjacent angles -

    A.

    ∠ABC and ∠ABD

    B.

    ∠ABD and ∠DBC

    C.

    ∠ABC and ∠DBC

    D.

    None of These

    Correct option is B

    Important Key Points:

    1. Adjacent Angles: Two angles are adjacent if they have a common vertex and a common arm, and do not overlap.
    2. Shared Arm: In this case,∠ABD\angle ABDABand ∠DBC\angle DBCDBC share the common armBDBD Band have the common vertex BBB.

    Knowledge Booster:

    • Option A: Incorrect, ∠ABC\angle ABCABC and ∠ABD\angle ABDABD do not share a common arm; ∠ABC\angle ABCABC is formed by the lines ABABAB and BCBCBC, whereas ∠ABD\angle ABDABD is formed by the lines ABABAB and BDBDBD.
    • Option C: Incorrect, ∠ABC\angle ABCABC and ∠DBC\angle DBCDBC are not adjacent because they do not share a common arm. They are formed by the lines ABABAB, BCBCBC, and BDBDBD, but not in the way required for adjacent angles.
    • Option D: Incorrect, as there are adjacent angles in the figure.

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