Question

the figure below has rotational symmetry. 36° is the smallest possible rotation that results in the figure being mapped onto itself.

Explanation:

Step1: Count the number of equal - parts.

The figure has 10 equal - parts.

Step2: Calculate the angle of rotation.

The full rotation is 360°. To find the smallest angle of rotation that maps the figure onto itself, we use the formula $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of equal - parts. Here, $n = 10$, so $\theta=\frac{360^{\circ}}{10}=36^{\circ}$.

Answer:

36