Question 97
Acute triangle $ABC$ has circumcenter $O$. The bisector of $\angle ABC$ and the altitude from $C$ to side $AB$ intersect at $X$. Suppose that there is a circle passing through $B$, $O$, $X$, and $C$. If $\angle BAC = n^{\circ}$, where $n$ is a positive integer, compute the largest possible value of $n$.