question_answer

In the shown figure, PQR is a straight line. If \[\angle SOR=80{}^\circ ,\] \[\angle ROQ=C,\] \[\angle SOP=b\]and\[\angle POT=a\]. If \[c=b-20{}^\circ \text{ }and\text{ }a=45{}^\circ \] then Find a: c.

A)  9: 8                 

B)         8: 11      

C)  8: 11               

D)         5: 4

E)  None of these