Question

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

Explanation:

Step1: Identify number of congruent parts

The figure has 5 congruent parts.

Step2: Calculate smallest rotation

The full - circle rotation is 360°. To find the smallest rotation that maps the figure onto itself, divide 360° by the number of congruent parts. So, the rotation angle $\theta=\frac{360^{\circ}}{5}$.

Answer:

72