Pls help me and show work! Thank you <3

Question

asked Oct 15, 2023 160k views

1 Answer

Mond Wan · Answer 1 · 2023-10-21T09:44:09+0000

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