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26 November, 17:11

A supplement of an angle is 4 times as large as the angles complement. Find the measure of the angle.

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Answers (2)
  1. 26 November, 19:46
    0
    Let x = angle

    let (90-x) = complement of the angle

    let 4 (90-x) = supplement of the angle

    x + 4 (90-x) + (90-x) = 180

    x + 360 - 4x + 90 - x = 180

    - 3x + 450 = 180

    - 3x = - 270

    x = 67.5
  2. 26 November, 20:55
    0
    supplement angles have sum = 180, complement angles have sum = 90

    180-x = 4 (90-x)

    180-x = 360 - 4x

    3x = 180

    x = 180/3

    x = 60

    answer measure of the angle = 60
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