What is the angle between the hour and minute hands if the clock shows 11 hours 30 minutes.

The watch is circular. A full circle has an angle of 360 degrees. There are 12 digits on the dial, so the angle between two adjacent digits is 360: 12 = 30 degrees. If the time on the clock is 11 hours 30 minutes, then the minute hand is on the number 6, and the hour hand is between the numbers 11 and 12 exactly in the middle, that is, between the number 11 and the hour hand 30: 2 = 15 degrees. And between the number 11 and 6 30 * 5 = 150 degrees. In total, we get that between the hour and minute hands 150 + 15 = 165 degrees.