Find a positive angle less than one rotation that is coterminal with 460 degrees

We need to define coterminal angles, when there are two angles, one of which is a multiple of 360° and this angle is also the larger angle between the two. Therefore, in the given problem, we 460° where the two angles are the 360° and x. Solving for x, we have:

460° = x + 360°

x = 460° - 360°

x = 100°

The angle which is less than one rotation is equal to 100°.