Question

complete the following sentence.
the figure below has rotational symmetry.
figure of a star - like polygon
° is the smallest possible rotation that results in the figure being mapped onto itself.

Explanation:

Step1: 确定图形的旋转对称次数

观察图形，这是一个正五边形变形的星形（类似正五芒星），正多边形的旋转对称最小角度为\( \frac{360^\circ}{n} \)，其中\( n \)是边数或对称次数。这里图形有5个“角”，所以\( n = 5 \)。

Step2: 计算最小旋转角度

根据公式\( \theta=\frac{360^\circ}{n} \)，代入\( n = 5 \)，得到\( \theta=\frac{360^\circ}{5}=72^\circ \)。

Answer:

\( 72 \)