In the diagram, $P Q S$ is a straight line. What is the value of $x$ ?
(A) 19
(B) 62
(C) 21.5
(D) 24
(E) 32

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-080.jpg?height=307&width=510&top_left_y=1798&top_left_x=1222)
Since $P Q S$ is a straight line and $\angle P Q R=110^{\circ}$, then $\angle R Q S=180^{\circ}-\angle P Q R=70^{\circ}$.

Since the sum of the angles in $\triangle Q R S$ is $180^{\circ}$, then

$$
\begin{aligned}
70^{\circ}+(3 x)^{\circ}+(x+14)^{\circ} & =180^{\circ} \\
70+3 x+x+14 & =180 \\
4 x & =96 \\
x & =24
\end{aligned}
$$

ANSWER: (D)