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EA // diagonal if AB,BC,CD, DE // one diagonal, in convex ABCDE

Source: Netherlands - Dutch NMO 1967 p3

January 31, 2023
parallelpentagongeometry

Problem Statement

The convex pentagon ABCDEABC DE is given, such that AB,BC,CDAB,BC,CD and DEDE are parallel to one of the diagonals. Prove that this also applies to EAEA.
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