IMAS 2014–2015 — Junior — Round 2 Question 11

$D$ is a point on the side $BC$ of triangle $ABC$ such that $\angle BAD=76^\circ$. When the point $C$ is reflected across $AD$ to the point $C'$, $ABC'D$ is a parallelogram. What is the measure, in degrees, of $\angle ADC$?