Find the value of x in the diagram above.
$∠$N + $∠$P + $∠$M = 180 ( sum of angles in $△$ NPM)
65º + 55º + $∠$M = 180
$∠$M = 180 - 65 - 55 = 60º
x + $∠$M = 180(opp interior angles of parallel lines are supplementary)
x = 180 - 60 = 120º