# How Do You Relate These Points Now?

Geometry Level 5

Let $$O$$ and $$H$$ denote the circumcenter and the orthocenter of $$ABC$$ respectively with midpoint of $$BC$$ at $$M$$.

The tangents at $$B,C$$ to $$\odot ABC$$ meet at $$D$$. Construct $$AH\cap BC,\odot ABC=E,F$$ respectively. $$FM\cap \odot ABC$$ again at $$G$$; $$N$$ is the midpoint of $$AG$$.

Suppose $$\angle A=50^{\circ}, \angle B=75^{\circ}$$. Find $$\angle EDN+\angle HMB$$ in degrees.

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