Math

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The measure of an angle is 4 times the measure of its complement. What is the measure of the angle's supplement?

  • Math -

    5x = 90

    x = ?

  • Math -

    18

  • Math -

    18 is the complementary angle. Now find the supplementary angle.

    18 + X = 180

    http://www.mathsisfun.com/geometry/supplementary-angles.html

  • Math -

    let the angle be x
    then its complement is 90-x

    x = 4(90-x)
    x = 360 - 4x
    5x = 360
    x = 72

    so the angle is 72°
    and its supplement is 180-72 = 108°

    check:
    our angle = 72
    its complement = 18
    is the angle 4 times its complement ?
    is 72 = 4(18) ? yes

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