This was this years geometry problem in the IMO. Solution.

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- August 29th 2007, 05:47 AM #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

- August 29th 2007, 09:10 AM #2

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