Angles N and P are supplementary (125º + 55º = 180º) but this doesn't tell us anything about the measures of angles M and Q. The edge MQ of the quadrilateral is not guaranteed to be parallel to NP.
For example, we can move vertex M anywhere along MN and still preserve the measures of angles N and P.
It's because there was no vertical/horizontal stretch and compression listed in the problem's transformations. The figure was translated throughout the graph.
