Exercise 66 Page 705

Let's begin with recalling when a figure has rotational symmetry.

A figure has rotational symmetry if it can be mapped onto itself by a rotation between $0^{\circ }$ and $360^{\circ }$ about the center of the figure.

Now let's look at the given figure and rotate it to check if it can be mapped onto itself. We see that there is no rotation between $0^{\circ }$ and $360^{\circ }$ that maps the given figure onto itself. Therefore, the figure has no rotational symmetry.