Answer: C
Step-by-step explanation:
By the alternate interior angles theorem, we know that [tex]5y+14=8y-13 \longrightarrow y=9[/tex].
So, this means that [tex]m\angle RPS=59^{\circ}[/tex].
Now, if we consider [tex]\triangle RPS[/tex], since angles in a triangle add to [tex]180^{\circ}[/tex], this means that [tex]59+2x+1+3x=180 \longrightarrow x=24[/tex].
So, [tex]m\angle RSP=\boxed{59^{\circ}}[/tex]
