Question 135
Let $ABC$ be an acutangle triangle with $AB \lt AC \lt BC$ and be $\Omega$ its circumscribed circle. Let $D$ and $E$ be the points diametrically opposed to the points $B$ and $C$ in circle $\Omega$ respectively. The center circle $A$ and radius $AE$ intersect $[AC]$ in $K$. The center circle $A$ and radius $AD$ cuts $(BA)$ in $L$ (so that $A$ is between $B$ and $L$). Show that the straight lines $(EK)$ and $(DL)$ intersect on the circle $\Omega$.