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Math Help - Supplement & Complement Angle

  1. #1
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    Supplement & Complement Angle

    Hi, if anyone could help me solve this and show in some detail (if possible) the steps to solving it I'd great appreciate it! Thanks!

    The sum of twice the supplement of an angle and three times its complement is 595 degrees. Find the angle.
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  2. #2
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    Re: Supplement & Complement Angle

    Quote Originally Posted by Kibbygirl View Post
    Hi, if anyone could help me solve this and show in some detail (if possible) the steps to solving it I'd great appreciate it! Thanks!

    The sum of twice the supplement of an angle and three times its complement is 595 degrees. Find the angle.
    2(180^\circ-\alpha)+3(90^\circ-\alpha)=595^\circ

     360^\circ-2\alpha+270^\circ-3\alpha=595^\circ

    -5\alpha=595^\circ-630^\circ

    -5\alpha=-35^\circ

    \alpha=7^\circ
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