Problem

Source: 2019 Dürer Math Competition Finals Day2 E15 https://artofproblemsolving.com/community/c1621835_2019_

Tags: geometry, angles, isosceles



$ABC$ is an isosceles triangle such that $AB = AC$ and $\angle BAC = 96^o$. $D$ is the point for which $\angle ACD = 48^o$, $AD = BC$ and triangle $DAC$ is obtuse-angled. Find $\angle DAC$.