How many degrees does the minute hand of the clock rotate clockwise to coincide with the minute from the positive position of 4 o'clock

How many degrees does the minute hand of the clock rotate clockwise to coincide with the minute from the positive position of 4 o'clock

As we know, the minute hand turns 360 ° and the hour hand turns 30 °, that is, the minute hand turns 1 ° and the hour hand turns 1 / 12 °, that is to say, the minute hand turns 1 ° to catch up with the hour hand 11 / 12 ° and at four o'clock, the hour hand is 120 ° ahead of the minute hand. Then the minute hand turns 120 / (11 / 12) = 1440 / 11 ° and just catches up with the hour hand. At this time, the two coincide, with an angle of 1440 / 11 = 130.9 °