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: Count number of equal - parts

The wheel is divided into 12 equal - parts.

Step2: Calculate angle of rotation

The total angle in a full - rotation is 360°. To find the smallest angle of rotation for the image to look the same, we divide 360° by the number of equal - parts. So, the angle $\theta=\frac{360}{12}$.

Step3: Solve for the angle

$\theta = 30^{\circ}$

Answer:

30