Go Geometry Problems

Geometry Problem 594. Level: Mathematics Education, High School, College, Honors Geometry

The figure shows a triangle ABC with the incircle O tangent to AC at D. M is the midpoint of AC and BE is the altitude. If BE and MO extended meet at F, prove that the measure of angle FDO is equal to half the difference of angles A and C.
 

Triangle, Incircle, Altitude, Inradius, Angle
 

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