Question

Pls help me and show work! Thank you <3

Answer 1

Answer: C

Explanation:

By the alternate interior angles theorem, we know that
`5y+14=8y-13 \longrightarrow y=9`.

So, this means that
`m\angle RPS=59^(\circ)`.

Now, if we consider
`\triangle RPS`, since angles in a triangle add to
`180^(\circ)`, this means that
`59+2x+1+3x=180 \longrightarrow x=24`.

So,
`m\angle RSP=\boxed{59^(\circ)}`