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AB + CD = BC

Source: Junior Olympiad of Malaysia Shortlist 2015 G5 (JOM P2)

July 17, 2015
geometry

Problem Statement

Let ABCD ABCD be a convex quadrilateral. Let angle bisectors of ∠B \angle B and ∠C \angle C intersect at E E . Let AB AB intersect CD CD at F F .
Prove that if AB+CD=BC AB+CD=BC , then A,D,E,FA,D,E,F is cyclic.
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