In the diagram, the value of $x$ is
(A) 40
(B) 35
(C) 150
(D) 30
(E) 25

![](https://cdn.mathpix.com/cropped/2024_04_20_46ead6524a8d61e21c51g-056.jpg?height=225&width=328&top_left_y=1964&top_left_x=1321)
The four angles shown, $150^{\circ}, 90^{\circ}, x^{\circ}$, and $90^{\circ}$, form a complete rotation, a $360^{\circ}$ angle.

Thus, $150^{\circ}+90^{\circ}+x^{\circ}+90^{\circ}=360^{\circ}$, or $x^{\circ}=360^{\circ}-150^{\circ}-90^{\circ}-90^{\circ}=30^{\circ}$.

ANSWER: (D)