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Angle(s) Bisector(s)

Source: Training for IMO/Cono sur

September 15, 2017
geometryangle bisector

Problem Statement

In a triangle ABC,LABC, L and KK are the points of intersections of the angle bisectors of ∠ABC\angle ABC and ∠BAC\angle BAC with the segments ACAC and BCBC, respectively. The segment KLKL is angle bisector of ∠AKC\angle AKC, determine ∠BAC\angle BAC.
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