Line segments $P Q$ and $R S$ intersect as shown. What is the value of $x+y$ ?
(A) 145
(B) 70
(C) 130
(D) 85
(E) 240

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-020.jpg?height=185&width=361&top_left_y=531&top_left_x=1359)
The angles measuring $60^{\circ}$ and $(y+5)^{\circ}$ lie along the line segment $P Q$, and so they add to $180^{\circ}$. Thus, $60+y+5=180$ or $y+65=180$, and so $y=180-65=115$.

The angles measuring $(4 x)^{\circ}$ and $(y+5)^{\circ}$ are opposite angles and so $4 x=y+5$.

Since $y=115$, we get $4 x=120$ and so $x=30$.

Therefore, $x+y=30+115=145$.

ANSWER: (A)