Mock Set 1 Paper 02 Calculator

\begin{array}{l} \text{The diagram shows quadrilateral } CDEA \text{ and triangle } AEB. \\ DE \parallel AC,\quad \angle AEB = 90^{\circ},\quad AE = EB. \\ \angle ACD = 65^{\circ}. \\[0.3cm] \textbf{Work out the size of } x = \angle CDE. \\ \text{You must give a reason for each stage of your working.} \end{array}