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Math Help - Geometry Marathon

  1. #46
    Math Engineering Student
    Krizalid's Avatar
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    Please, show a picture.

    (for better understanding)
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  2. #47
    MHF Contributor red_dog's Avatar
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    I attached the image in the previous post.
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  3. #48
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    brilliant! bravo! don't you just love triangles?!
    shoot us with a question!
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  4. #49
    MHF Contributor red_dog's Avatar
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    Here is the problem:
    Attached Thumbnails Attached Thumbnails Geometry Marathon-triangle.jpg  
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  5. #50
    Math Engineering Student
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    Quote Originally Posted by Krizalid View Post
    This problem looks like hard, but it's not when you find a good auxiliary construction.

    Another solution
    • Take a point E on the extension of \overline{AC} such that \overline{BA}=\overline{BE}\implies\measuredangle~  CBE=x~\therefore~\triangle{BAC}\cong\triangle{BED}.
    • Finally \measuredangle~BDE=4x\implies{x}=18^\circ~\blacksq  uare
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