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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.
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Proposed Geometry Problem 67: Triangle, Circumcircle, Angles, Concyclic
 

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