Analog Clock Showing Time Angles

An image displaying a classic analog clock face, complete with hour markers from 1 to 12. The accompanying text poses a challenge: determining the angle between the clock's hands at precisely 2:20, and then again at the unique time of 2:20 and 2/11 minutes. It's a visual prompt for a time-based angle calculation problem.

analog clock - clock angles - time - mathematics - angle calculation - clock hands - time problem - geometry