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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