Geometry Problems, Online Education

Problem 74. Three Intersecting Circles, Cyclic Quadrilateral, Angles. Level: High School, SAT Prep, College

In the figure below, the circles O1 and O2 intersect at F and B. The circles O2 and O3 intersect at G and C. FG intersect circles O1 and O3 at E and H, respectively. BC intersect circles O1 and O3 at A and D, respectively. AH cuts circle O1 at M. Prove that angles EBM and EDH are equal.
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