In the diagram, $\triangle P Q R$ has $P Q=Q R=R P=30$. Points $S$ and $T$ are on $P Q$ and $P R$, respectively, so that $S T$ is parallel to $Q R$. Points $V$ and $U$ are on $Q R$ so that $T U$ is parallel to $P Q$ and $S V$ is parallel to $P R$. If $V S+S T+T U=35$, the length of $V U$ is
(A) 21
(B) 15
(C) 18
(D) 20
(E) 25

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-058.jpg?height=455&width=486&top_left_y=2036&top_left_x=1226)

## Part C: Each correct answer is worth 8.