Question

this image has rotational symmetry. what is the smallest number of degrees you need to rotate the image for it to look the same?

Explanation:

Step1: Identify number of equal parts

The umbrella - like image is divided into 8 equal parts.

Step2: Calculate rotation angle

The total degrees in a full - circle rotation is 360°. To find the smallest rotation angle for the image to look the same, we divide 360° by the number of equal parts. So, the rotation angle $\theta=\frac{360}{8}$.

Step3: Solve for the angle

$\theta = 45^{\circ}$

Answer:

45