One of the adjacent angles of a parallelogram is 50° less than other. The measure of greatest angle is ________

One of the adjacent angles of a parallelogram is 50° less than other. The measure of greatest angle is ________

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  1. Answer:

    115°

    Step-by-step explanation:

    The adjacent angles of a parallelogram are supplementary.

    Let the smaller angle be x.

    Greater angle = (x+50)°

    => x+x+50 = 180°

    => 2x = 180° – 50°

    => 2x = 130°

    => x = 130 ÷ 2

    => x = 65

    Therefore, greater angle = (65+50)° = 115°

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