Geometry

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How to solve: the measure of an angle is 12 less than twice the measure of its supplement. What is the measure of the angle?

  • Geometry -

    x + (2x - 12) = 180
    3x - 12 = 180
    3x = 180
    + 12
    ____

    3x =192

    192/3= x

  • Geometry -

    let the angle be x
    then its supplement is 180-x

    x = 2(180-x) - 12
    x = 360 - 2x - 12
    3x = 348
    x = 116

    check:
    if the angle is 116
    its supplement is 64
    twice the supplement is 128
    12 less than twice the supplement = 128-12 = 116
    YEAH!

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