<Qua-2023-720>, hint

Let <ALE=<KCE=p, <LED=<FCE=q ( EL is tangent to circle CFE)

<FCK=<FCE+<ECK=q+P equal to <ADK=<AED=<LED+<ALE=q+p

TriaNgle ALE is isosceles  AL=AE=AD.

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