Home Geometry Problems All Problems 371-380 View or post a solution 
Problem 380. Triangle, Excenter, Parallel to a side, Angle, Congruence.
Level: High School, College, SAT Prep.

The figure shows a triangle ABC with the excenter E (point of intersection of one of the internal angle bisectors and two of the external angle bisectors). If line EGF is parallel to AC, prove that FG = AF - CG.
 

Triangle, Excenter, Parallel to side
 

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