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March 29, 2017

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the measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle find the measure of the angle

  • Geometry - ,

    X = Comp,
    2x + 40 = supp,

    1. A + X = 90,
    A = 90 - X,

    2. A + (2X + 40) = 180,
    Substitute 90 - x for A:
    (90 - X) + (2X + 40) = 180,
    -X + 2X + 90 + 40 = 180,
    X + 130 = 180,
    X = 180 - 130,
    X = 50,

    Substitute 50 for x in Eq 1:
    A + 50 = 90,
    A = 90 - 50,

    A = 40.

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