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Math Help - Supplement and Complementary angle problem

  1. #1
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    Supplement and Complementary angle problem

    1. The ratio of the measure of the supplement of an angle to
      that of the complement of the angle is 5:2. Find the
      measure of the supplement.




    Not sure how to set it up.
    Last edited by Cake; February 9th 2014 at 11:32 PM.
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  2. #2
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    Re: Supplement and Complementary angle problem

    I got the idea.

    5(90 - x) = 2(180 - x)
    450 - 5x = 360 - 2x
    90 = 3x
    30 = x

    180 - 30 = 150


    Why would i get a different answer is I set it up as
    5(180 - x) = 2(90 -x) ?

    What is the key part in the question that makes our expression be 5(90 -x) = 2(180 -x)
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    Re: Supplement and Complementary angle problem

    Quote Originally Posted by Cake View Post
    I got the idea.

    5(90 - x) = 2(180 - x)
    450 - 5x = 360 - 2x
    90 = 3x
    30 = x

    180 - 30 = 150


    Why would i get a different answer is I set it up as
    5(180 - x) = 2(90 -x) ?

    What is the key part in the question that makes our expression be 5(90 -x) = 2(180 -x)
    the wording is pretty clear

    supplement is (180-x)
    complement is (90-x)

    it says the ratio of the measure of the supplement of an angle to that of the complement, i.e.

    (180-x)/(90-x)

    is 5:2, i.e.

    5/2

    so the problem states that

    (180-x)/(90-x) = 5/2 ==> 2(180-x) = 5(90-x)

    it doesn't state it the other way around and they aren't the same equation so you should expect a different answer.
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    Re: Supplement and Complementary angle problem

    Quote Originally Posted by romsek View Post
    the wording is pretty clear

    supplement is (180-x)
    complement is (90-x)

    it says the ratio of the measure of the supplement of an angle to that of the complement, i.e.

    (180-x)/(90-x)

    is 5:2, i.e.

    5/2

    so the problem states that

    (180-x)/(90-x) = 5/2 ==> 2(180-x) = 5(90-x)

    it doesn't state it the other way around and they aren't the same equation so you should expect a different answer.
    Perfect. Thank you.
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