Question 1
Given circles $\omega_1$ and $\omega_2$ with two intersection points $A$ and $B$. Points $X$ on $\omega_1$ and $Y$ on $\omega_2$ are chosen such that $XY$ is tangent to both circles and $XY$ is closer to $B$ than $A$. If $C$ and $D$ are the reflections of $X$ and $Y$ with respect to $B$, prove that $\angle CAD \lt 90^\circ$.