Isosceles Triangle and a Peculiar Point D

Geometry Level 4

$ABC$ is an isosceles triangle with $AB=AC$ , $\angle BAC = 96 ^\circ$ . $D$ is a point such that $\angle DCA = 48 ^\circ$ , $AD = BC$ and angle $DAC$ is obtuse. What is the measure (in degrees) of $\angle DAC$ ?