Question

How many degrees does the wheel need to rotate about its axle so that the image of the wheel is indistinguishable from the original figure?

Answer 1

The wheel is circular, thus it has 360º. We can see in the picture that the rods of the wheel divide it in 6 equal part. Then each section will have:

$\frac{360º}{6}=60º$

A measure of 60º on each section, then if the wheel is rotated 60º, the image will be indistinguishable from the original.

The answer is 60º