In the diagram, the value of $k$ is
(A) 180
(B) 210
(C) 240
(D) 270
(E) 300

![](https://cdn.mathpix.com/cropped/2024_04_20_46ead6524a8d61e21c51g-020.jpg?height=260&width=268&top_left_y=2269&top_left_x=1422)
One complete rotation equals $360^{\circ}$.

Therefore, $k^{\circ}+90^{\circ}=360^{\circ}$ and so $k=360-90=270$.

ANswer: (D)