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Problem 67.
Triangle, Circumcircle, Angles, Concyclic.
Level: High School, SAT Prep, College 
in the figure below, DE is a chord of
the circumcircle or circumscribed circle of a triangle ABC. B is
the midpoint of arc DE. Prove that the points A, F, G, and C are
concyclic (lie on a same circle) and angles CAG and CFG are
congruent. .


