Question 97
Let $ABC$ be a triangle with $\angle BAC \gt 90^\circ$. Let $D$ be a point on the segment $BC$ and $E$ be a point on the line $AD$ such that $AB$ is tangent to the circumcircle of triangle $ACD$ at $A$ and $BE$ is perpendicular to $AD$. Given that $CA = CD$ and $AE = CE$, determine $\angle BCA$ in degrees.