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Math Help - [SOLVED] Geometry Test Review Ahhhhhh!

  1. #1
    IXISMALLSIXI
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    [SOLVED] Geometry Test Review Ahhhhhh!

    Suppliment of an angle is 6 times as large as the comp of the angle. find the angle, comp, and supp
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  2. #2
    MHF Contributor
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    Quote Originally Posted by IXISMALLSIXI View Post
    Suppliment of an angle is 6 times as large as the comp of the angle. find the angle, comp, and supp
    Let A = angle, C = complement, S = suplement.

    S = 6C ----------(1)
    A +C = 90 -------(2)
    A +S = 180 ------(3)

    (3) minus (2),
    S -C = 90 ---------(4)

    (4) minus (1),
    -C = 90 -6C
    -C +6C = 90
    5C = 90
    C = 90/5 = 18 degrees -----------answer.

    Substitute that in (4),
    S -18 = 90
    S = 90 +18 = 108 degrees -----------answer.

    Substitute that in (3),
    A +108 = 180
    A = 180 -108 = 72 degrees --------answer.
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  3. #3
    MHF Contributor red_dog's Avatar
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    5
    Let x be the angle.
    Then, the supplement is 180^{\circ}-x and the complement is 90^{\circ}-x.

    We have 180^{\circ}-x=6(90^{\circ}-x)
    Now, solve for x.
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