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
Prove that points B, F, E, and G are concyclic.