Circle theorems I — practice question

A circle sketch, drawn not to scale, has points $A$, $B$, $C$, $D$ and $E$ placed on the circumference. The angles marked are $47\degree$ at $C$ (angle $DCE$) and $85\degree$ at $E$ (angle $CEA$). Inside the circle, the angles are labelled $w\degree$, $x\degree$ and $y\degree$.