Question 29
Let $ABC$ be an isosceles triangle in $A$, $\Gamma$ is a tangent circle to $(AC)$ in $C$ on the outside of the Triangle $ABC$. We note $\omega$ the circle passing through $A$ and $B$ and tangent internally to $\Gamma$ in $D$. $E$ is the second intersection of $(AD)$ and $\Gamma$, show that $(BE)$ is tangent to $\Gamma$. 