question_answer

AB and CD are lines, P is point on AB. A line PQ meets CD at R. If \[\angle BPR\,=\,30{}^\circ \]and\[\angle \,CRQ\,=\,150{}^\circ ,\] then

A)  AB and CD are perpendicular

B)  AB and CD are parallel

C)  CD and PQ are perpendicular

D)  None of the above

Correct Answer: B

Solution :

\[\angle BPR=\angle DRQ=30{}^\circ \] \[\angle CRQ=\angle APR=150{}^\circ \] \[\angle CRD=\angle APB=180{}^\circ \] Hence, AB and CD are parallel.