a machine has two flat circular plates of the same diameter. both plates have circular holes of one-inch diameter that are equally spaced and are the same distance from the edges, as shown in the figure above. one plate is placed on top of the other so that their centers are aligned and two of the holes are perfectly aligned. if one plate remains stationary, what is the least number of degrees that the other plate must be rotated so that a different pair of holes is perfectly aligned?
