MathDB
Easy geom to solve

Source: International Mathematical Tournament of towns

December 2, 2019
geometryangle bisector

Problem Statement

Given a convex pentagon ABCDEABCDE such that AEAE is parallel to CDCD and AB=BCAB=BC. Angle bisectors of angles AA and CC intersect at KK. Prove that BKBK and AEAE are parallel.
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