Question 85
$ABCD$ is a cyclic quadrilateral in which $AB = 4$, $BC = 3$, $CD = 2$, and $AD = 5$. Diagonals $AC$ and $BD$ intersect at $X$. A circle $\omega$ passes through $A$ and is tangent to $BD$ at $X$. $\omega$ intersects $AB$ and $AD$ at $Y$ and $Z$ respectively. Compute $YZ / BD$.
