Bisectors Problem
Molly McKee
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Let angle A of triangle ABC have measure 120 degrees.
 
Let A' be the point of intersection of segment BC and the angle bisector of angle A.Likewise B' is the intersection of AC and the angle bisector of angle B, and C' is the intersection of AB and the angle bisector of angle C. Prove angle B'A'C' is always a right angle.
The Problem