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plss answer fast math algebra

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the ratio of the measure of the complementsof two angle is3:4while the ratio of the measure of their supplements is 9:10 find the measure of each angle.

  • plss answer fast math algebra -

    let one angle be x
    let the other be y

    then their complements are 90-x and 90-y
    and their supplements: 180-x and 180-y

    (90-x)/(90-y) = 3/4
    270 - 3y = 360 - 4x
    4x - 3y = 90 , #1

    (180-x)/(180-y) = 9/10
    1620 - 9y = 1800 - 10x
    10x - 9y = 180 , #2

    #1 times 3
    12x - 9y = 270
    subtract #2
    2x = 90
    x = 45
    into #1

    180 - 3y = 90
    -3y = -90
    y = 30

    so one angle is 45° and the other is 30°

    check:
    their complements are 45 and 60
    45 : 60 = 3:4
    their supplements are 135 and 150
    135:150 = 9:10
    YEAHHH

  • plss answer fast math algebra -

    the ratio of the complement of an angle to the supplement is 1:7.Find the angle.

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