
Problem 74. Three
Intersecting Circles, Cyclic Quadrilateral, Angles.
Level: High School, SAT Prep, College 
In the figure below, the circles O_{1} and O_{2} intersect at
F and B. The circles O_{2} and O_{3} intersect at G and C. FG
intersect circles O_{1} and O_{3} at E and H, respectively. BC
intersect circles O_{1} and O_{3} at A and D,
respectively. AH cuts circle O_{1} at M. Prove that angles EBM and EDH are equal.
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