RADICAL AXISM(A HINT)

Level pending

We have an acute angled triangle \(ABC\) and it's orthocenter is \(H\).\(AH\) extended meets \(BC\) at \(D\) and \(CH\) extended meets \(AB\) at \(E\).\(DE\) meets \(BH\)meet at \(K\) and midpoint of \(BH\) is \(M\).What is the angle between \(AK\) and \(CM\) in degrees??????????.Answer may be too easy to guess but please do provide a good proof. The problem may be easy and also well.known but I found it out while performing some radical-axis theorems.

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