$\begin{align}  & \text{In }\vartriangle ABC \\ & {{52}^{\circ }}+{{90}^{\circ }}+a={{180}^{\circ }} \\ & a={{38}^{\circ }} \\ & b=a={{38}^{\circ }}\text{  }\!\!\{\!\!\text{ vertically opposite }\angle s\} \\ & \text{In }\vartriangle CDE \\ & x=b+{{90}^{\circ }}\text{ }\!\!\{\!\!\text{ sum of two opposite }\angle s=ext.\angle \} \\ & x={{38}^{\circ }}+{{90}^{\circ }}={{128}^{\circ }} \\\end{align}$