\[\begin{align}  & \angle XOY={{180}^{\circ }}-\angle WOX-\angle EOY\text{ } \\ & \text{ }\!\!\{\!\!\text{ }\angle \text{s on a str}\text{. line }\!\!\}\!\!\text{ } \\ & \angle XOY={{180}^{\circ }}-{{50}^{\circ }}-{{60}^{\circ }}={{70}^{\circ }} \\ & \angle OYX={{180}^{\circ }}-\angle XOY-\angle OXY \\ & \angle OYX={{180}^{\circ }}-{{70}^{\circ }}-{{30}^{\circ }}={{80}^{\circ }} \\ & \angle NOY={{90}^{\circ }}-\angle YOE={{90}^{\circ }}-{{50}^{\circ }}={{40}^{\circ }}\text{ } \\ & \text{ }\!\!\{\!\!\text{ right angle }\!\!\}\!\!\text{ } \\ & \angle OYA=\angle NOY={{40}^{\circ }}\text{  }\!\!\{\!\!\text{ Alternate angles }\!\!\}\!\!\text{ } \\ & \text{The bearing of X from Y}={{180}^{\circ }}+{{40}^{\circ }}+{{80}^{\circ }} \\ & \text{The bearing of X from Y}={{300}^{\circ }} \\\end{align}\]