## Tagent

Let $ABC$ be a triangle.Incircle $(I)(I$ is center) touch $BC;CA;AB$ at $D;E;F$,respectively. $AD$ cuts $(I)$ at $L(L \neq D)
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$DH \perp EF(H \in EF)$
$DI$ cuts $(I)$ at $K(K \neq D)$
$EF$cuts $BC$ at $Q$
Prove that $QL$ is tagent of circumcircle of triangle $HKL$