Problem 338. Triangle, Circumcircle, Inscribed Circle,
Exterior angle bisector, Concyclic points.
Level: High School, College, SAT Prep.
The figure shows a triangle ABC with
the circumcircle O. A circle D is tangent to arc AC and side AC
at E and F, respectively. BG is the exterior angle bisector of
angle B.
Prove that points B, F, E, and G are concyclic.

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