A clockwise rotation around point $Z$ (that is, a rotation in the direction of the arrow) transforms the shaded quadrilateral to the unshaded quadrilateral. The angle of rotation is approximately
(A) $180^{\circ}$
(B) $270^{\circ}$
(C) $360^{\circ}$
(D) $45^{\circ}$
(E) $135^{\circ}$
The measure of $\angle P Z Q$ formed by the bottom edge of the shaded quadrilateral, $Z Q$, and this same edge after the rotation, $Z P$, is approximately $90^{\circ}$.

The transformation of the shaded quadrilateral to the unshaded quadrilateral is a clockwise rotation around point $Z$ through an angle equal to the measure of reflex angle $P Z Q$.

The measure of $\angle P Z Q$ added to the measure of reflex $\angle P Z Q$ is

![](https://cdn.mathpix.com/cropped/2024_04_20_748fdafcde2a47412608g-187.jpg?height=339&width=371&top_left_y=169&top_left_x=1560)
equal to the measure of one complete rotation, or $360^{\circ}$.

Therefore, the measure of reflex angle $P Z Q$ is approximately $360^{\circ}-90^{\circ}$ or $270^{\circ}$.

Thus the clockwise rotation around point $Z$ is through an angle of approximately $270^{\circ}$.

ANSWER: (B)