well, 360 degrees in a minute. So 360 * 5 = 1800 degrees
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Since a clock hand turns 360 degrees in 60 minutes, it will move 30 degrees in 5 minutes and 120 degrees in 20 minutes.
Which hand? The minute hand moves 360 degrees in 60 minutes which is 6 degrees per minute. So in 37 minutes it moves 37*6 = 222 degrees.
There are 360 degrees on the clock face that the minute hand travels in one hour which is 6 x 10 minutes. So the degrees turned by the minute hand in 10 minutes is 360/6 = 60
It is 90 degrees
If we simply imagine the minute hand is on the 6, and the hour hand is on the two, there will be a total of 120 degrees between the minute and the hour hand, 1/3 of the clock is covered between the two hands. However, it is not that simple. Because 30 minutes has travelled, the hour hand will be half way between the 2 and the 3. We know that every hour, the hour hand moves 30 degrees (360 / 12 hours = 30). Therefore, in 30 minutes, it will have travelled 15 degrees. Which means the hour hand is 15 degrees closer to the minute hand. Therefore, the actual angle between the minute and hour hand is actually 105 degrees.