\(\angle\)N + \(\angle\)P + \(\angle\)M = 180 ( sum of angles in \(\triangle\) NPM)

65º + 55º + \(\angle\)M = 180

\(\angle\)M = 180 - 65 - 55 = 60º

x + \(\angle\)M = 180(opp interior angles of parallel lines are supplementary)

x = 180 - 60 = 120º