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Algebra 1

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I need putting this word sentence into a mathematical sentence.

Find the measure of an angle if the sum of the measures of its complement and supplement is 162o.

  • Algebra 1 -

    (90-x) + (180-x) = 162
    solve for x

  • Algebra 1 -

    I've solved for X before but for some reason I'm stuck on this one. How do I solve for X here?

  • Algebra 1 -

    Call the angle A, its complement C, its supplement S.
    A + C = 90
    A + S = 180
    C + S = 162.
    Three equation and three unkmnowns.
    I would solve equation 3 for C and substitute that into equation 1. Then solve 1 and 2 simultaneously. Post your work if you get stuck.

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