Two adjacent angle of the parallelogram have equal measure Find the measure of each of the angles of the parallelogram ​

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Two adjacent angle of the parallelogram have equal measure Find the measure of each of the angles of the parallelogram

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Mackenzie 2 weeks 2021-09-10T19:25:48+00:00 1 Answer 0 views 0

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    2021-09-10T19:27:26+00:00

    Answer:

    Angle =90°

    Step-by-step explanation:

    Let ABCD be the parallelogram with ∠A = ∠B.

    Sum of adjacent angles = 180°  

    ∠A + ∠B = 180º

    2∠A = 180º (∠A = ∠B)

    ∠A = 90º

    ∠B = ∠A = 90º  

    ∠C = ∠A = 90º (Opposite angles)

    ∠D = ∠B = 90º (Opposite angles)

    Thus, each angle of the parallelogram measures 90º.

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