question_answer

In the figure given below \[AB\parallel CD\] and\[AE\parallel CF,\]\[\angle FCG=90{}^\circ \]and \[\angle BAC=120{}^\circ \]. Find the values of\[x\], \[y\] and z.

A)  \[x=60{}^\circ ,y=50{}^\circ \,and\,z=150{}^\circ \]

B)  \[x=70{}^\circ ,y=30{}^\circ \,and\,z=150{}^\circ \]

C)  \[x=60{}^\circ ,y=30{}^\circ \,and\,z=150{}^\circ \]

D)  \[x=60{}^\circ ,y=30{}^\circ \,and\,z=120{}^\circ \]

E)  None of these