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9 November, 05:22

in the diagram of parallelogram ABCD shown below the measure of angle A is five times the measure of angle D what is the measure of angle A?

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  1. 9 November, 09:19
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    A = 150°

    Step-by-step explanation:

    In the parallelogram ABCD, A and D are adjacent angles.

    We know that in a parallelogram, adjacent angles are supplementary.

    Therefore,

    A + D = 180° - - - (1)

    But, it is given that angle A is 5 times angle D.

    So, A = 5D

    Substitute in (1), we get,

    5D + D = 180

    6D = 180

    D = 30

    A = 5D

    = 5 (30)

    = 150

    Hence, A = 150°
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