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bisector of A

Source: Lithuania NMO 2010,problem 2

March 11, 2012
geometrytrapezoidangle bisectorgeometry unsolved

Problem Statement

In trapezoid ABCDABCD, ADAD is parallel to BCBC. Knowing that AB=AD+BCAB=AD+BC, prove that the bisector of ∠A\angle A also bisects CDCD.
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