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Math Help - imo

  1. #1
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    imo

    Consider five points A, B, C, D and E such that ABCD is a
    parallelogram and BCED is a cyclic quadrilateral. Let ℓ be a line passing
    through A. Suppose that ℓ intersects the interior of the segment DC at F
    and intersects line BC at G. Suppose also that EF = EG = EC. Prove
    that ℓ is the bisector of angle DAB
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  2. #2
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    Quote Originally Posted by perash View Post
    Consider five points A, B, C, D and E such that ABCD is a
    parallelogram and BCED is a cyclic quadrilateral. Let ℓ be a line passing
    through A. Suppose that ℓ intersects the interior of the segment DC at F
    and intersects line BC at G. Suppose also that EF = EG = EC. Prove
    that ℓ is the bisector of angle DAB
    This was this years geometry problem in the IMO. Solution.
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