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Olympiad geometry

  1. Jul 4, 2008 #1
    Consider five points A, B, C, D and E such that ABCD is a parallelogram and BCED is a
    cyclic quadrilateral. Let [tex]l[/tex] be a line passing through A. Suppose that [tex]l[/tex] intersects the interior
    of the segment DC at F and intersects line BC at G. Suppose also that EF = EG = EC.
    Prove that [tex]l[/tex] is the bisector of angle DAB.
     
  2. jcsd
  3. Jul 5, 2008 #2
    Can you give a drawing? ( I'm a bit lazy )
     
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