No diagram has been given in the question.
MQR=MRQ=180-124=56° in isosceles triangle QMR (MQ=MR).
QMR=180-56-56=68°.
QMN=124° (alternate interior angles between parallel lines)
LMQ=RMN=MRQ=56° (alternate interior angles between parallel lines)
The positions of x and y are not given in the question, so all visible angles have been calculated.