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Math Help - Prove two angles are equal

  1. #1
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    Prove two angles are equal

    Hi, here is the question:



    I'm not exactly sure how this is solved, but I'm thinking similar triangles/congruency is involved as some smaller triangles share sides, perpendicular angles etc.

    Please help, BG
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  2. #2
    MHF Contributor red_dog's Avatar
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    \widehat{MAQ}=90-\widehat{AMQ}

    \widehat{PAK}=90-\widehat{APK}

    But PMQA is a cyclic quadrilater and \widehat{AMQ}=\widehat{APK}

    Therefore, \widehat{MAQ}=\widehat{PAK}
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