Question 8

Geometry Level 3

As shown in the figure, $$H$$ is a point between $$B$$ and $$C$$ such that$$\angle CDF = \angle FDE = \frac{1}{2}\angle CDE$$, and $$\angle CAI = \frac{1}{2}\angle CAH$$.

Evaluate $\frac{{\angle DEC + \angle DMH}}{{\angle ANF}}$

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