Go Geometry Problems: Intersecting circles

Online Geometry Problem 705: Intersecting Circles, Diameter, Angles, Measurement. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows the intersecting circles O and O' at A and B. The diameter AC of circle O meets circle O' at E, the diameter AD of circle O' meets circle O at F. Line DE meets circle O at G,H, line CF meets circle O' at M,N. If the measure of angle CAD = 58 degrees and the measure of angle CNH = 22 degrees, find the measure of angle FMG.
 

Intersecting circles, Diameter, Perpendicular, Angle, Measure
 

See also:
Circles
Intersecting Circles
Diameter
Perpendicular lines
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