Prove That Angles AFD and AEF Are Equal in This Secant Geometry Problem 1582. Perfect for High School and College Students!

From a point A outside a circle with center O, two secants intersect it at B, C and D, E. The circle through A, C, and E intersects the line through B and D at F. Prove that angles AFD and AEF are equal.

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Flyer of problem 1582 using iPad Apps