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Math Help - geometry

  1. #1
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    geometry

    mathcounts notes: 2013 Mathcounts State Prep : Angle Bisect and Trisect Questions
    (second picture featuring 2 angle bisectors.)

    How many integer values can "c" assume?

    Answer is 59.But I could find the answer as 44.I used the formula a/2+90=b...etc.
    Last edited by kastamonu; May 19th 2014 at 08:06 AM.
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  2. #2
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    Re: geometry

    Quote Originally Posted by kastamonu View Post
    mathcounts notes: 2013 Mathcounts State Prep : Angle Bisect and Trisect Questions
    (second picture featuring 2 angle bisectors.)

    How many integer values can "c" assume?

    Answer is 59.But I could find the answer as 44.I used the formula a/2+90=b...etc.
    Solving it you get

    $a=3c-360$

    $b=2c-180$

    and that puts c in the range

    $120 < c < 180$

    since 0< a,b < 180

    so c can take 121-179 which is 59 different integer values.
    Thanks from prasum
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  3. #3
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    Re: geometry

    Many Thanks
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