VTMO 2013 — Grade 9 — semifinal Question 11

$A , B , C , D$ are concyclic; $P$ is the exterior intersection of $AB$ and $DC$. $\angle ADB = 54 ^{\circ} , \angle ACD = 58 ^{\circ} , \angle PBC = 80 ^{\circ}$. Find $\angle APD$.