Question 93
The circle $\omega$ passes through the vertices $B$ and $C$ of a triangle $ABC$, and meets its sides $AB$ and $AC$ at points $C_1$ and $B_1$ respectively. Let $X$ be the midpoint of the arc $\overset{\frown}{B_1BC}$, and $Y$ be the midpoint of the arc $\overset{\frown}{BCC_1}$ of $\omega$.
Find the angle between the line $XY$ and the bisector of the angle $CAB$.
Find the angle between the line $XY$ and the bisector of the angle $CAB$.