IMO Shortlist 2017 problem G1


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Oct. 3, 2019
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Let ABCDE be a convex pentagon such that AB=BC=CD, \angle{EAB}=\angle{BCD}, and \angle{EDC}=\angle{CBA}. Prove that the perpendicular line from E to BC and the line segments AC and BD are concurrent.

Source: https://www.imo-official.org/problems/IMO2017SL.pdf