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    ​The sum of the consecutive angles of a parallelogram is equal to: ​
    Question

    The sum of the consecutive angles of a parallelogram is equal to:

    A.

    360°

    B.

    120°

    C.

    90°

    D.

    180°

    Correct option is D

    Given:

    The sum of the consecutive angles of a parallelogram is equal to:

    Solution:

    In a parallelogram, opposite angles are equal, and adjacent angles (consecutive angles) are supplementary. ​​

    For consecutive angles:

    A+B=180∠A+∠B=180^∘

    B+C=180∠B+∠C=180^∘​​​

    C+D=180∠C+∠D=180^∘

    D+A=180∠D+∠A=180^∘

    That means the sum of any two consecutive angles is 180180 ^∘.

    Since the sum of all four angles in a parallelogram is always 360360^∘.

    Thus, option (d) is correct.

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