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Math Help - A simple geo problem

  1. #1
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    A simple geo problem

    Hey, I've never been good at math so would you mind explaining to me a few problems? =]
    1.The measure of the supplement of an angle is 60 less than 3 times the measure of the complement of the angle. Find the measure of the angle.
    2.Find angle T if angle T is 20 more than 4 times its supplement

    Thanks.
    -Mike
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  2. #2
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    The measure of the supplement of an angle is 60 less than 3 times the measure of the complement of the angle. Find the measure of the angle.

    if an angle measures x, then it's supplement is 180-x
    similarly it's complement would be 90-x

    then saying
    "the supplement is 60 less than 3 times the complement"
    180-x=3(90-x)-60
    180-x=270-3x-60
    180-x=210-3x
    -x=30-3x
    2x=30
    x=15
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  3. #3
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    Find angle T if angle T is 20 more than 4 times its supplement

    if T measures t degrees, then it's supplement would be 180-t
    then
    "t is 20 more than 4 times its supplement"
    t+20 =4(180-x)

    ...similar algebra to solve for x
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