Solution:
According to the given question, \[\vartriangle ABC\text{ }\sim\text{ }\vartriangle PQR\]
And, \[AD\text{ }and\text{ }PM\]are the angle bisectors.
So,
\[\angle BAD\text{ }=\angle QPM\]
Also, \[\angle ABC\text{ }=\angle PQR\text{ }i.e.\angle ABD\text{ }=\angle PQM\]
Hence\[\text{ }\vartriangle ABD\text{ }\sim\text{ }\vartriangle PQM\text{ }by\text{ }AA\] criterion for similarity.
Thus,
\[AB/PQ\text{ }=\text{ }AD/PM\]