In the shown figure, \[\mathbf{AB}\text{ }\left| \text{ } \right|\text{ }\mathbf{CD}\] and\[\angle \text{ }\mathbf{BGF}\text{ }=\text{ }\mathbf{90}{}^\circ \]. If\[\angle \text{ }\mathbf{EBG}\text{ }=\text{ }\mathbf{73}{}^\circ \], then find the value of\[\left( \mathbf{x}\text{ }+\text{ }\mathbf{y} \right){}^\circ \].

• A. \[42{}^\circ \]
• B. \[34{}^\circ \]
• C. \[46{}^\circ \]
• D. \[36{}^\circ \]