IrMO 2004 Problem 7

$A$ and $B$ are distinct points on a circle $T$ . $C$ is a point distinct from $B$ such that $|AB|=|AC|$ , and such that $BC$ is tangent to $T$ at $B$ . Suppose that the bisector of $\angle ABC$ meets $AC$ at a point $D$ inside $T$ . Show that $\angle ABC>72^\circ$ .