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Problem 38.
Right triangle, altitude, incenters, angles. Level: High School, SAT
Prep, College 
In triangle ABC,
angle B is a right angle. BD is the altitude,
E, F, and G are the incenters of the triangles ABC,
ADB, and
BDC respectively. Prove that angles mÐACB
= mÐDGF
= 2mÐEFG
= 2mÐEBG.


