Consecutive angles of a parallelogram are supplementary, so:
[tex]2x+25+3x-5=180\\5x+20=180\\5x=160\\x=32[/tex]
This means [tex]m\angle P=2(32)+25=89^{\circ}[/tex] and that [tex]m\angle Q=3(32)-5=91^{\circ}[/tex].
Since opposite angles of a parallelogram are congruent,
[tex]\boxed{m\angle S=91^{\circ}, m \angle R=89^{\circ}}[/tex]
