1 minute is equal to one sixtieth (or 1/60) of a degree.
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At exactly 1 o'clock, the hour hand will be at an angle of 30 degrees, and the minute and second hands will be at an angle of 0 degrees.
12 minutes is 1/5th of an hour. The minute hand sweeps 360 degrees - a full circle - in one hour. So the angle formed by the start and stop of a 12-minute sweep of the minute hand would be 1/5th of 360 degrees or 72 degrees.
220 degrees
In one hour the hour hand completes 360/12 degree i.e. 30o. 1 hour is equal to 60 minutes so in 1 minute angle completed by hour hand is 30o/60 i.e 0.5o, so angle completed in 30 minutes is 0.5o x 30 = 15o. 1 minute is equal to 60 seconds so angle completed by hour hand in 1 sec is equal to 0.5o/60 so angle completed in 15 seconds is 0.5o x 15/60 = 0.125o. So, the total angle turned by our hand = 15o + 0.125o = 15.125o.
The angle between the two hands changes constantly at the rate of 5.5° per minute. This formula finds the angle between the two hands for a given time (h:m) taking the absolue value as shown: |5.5m - 30h| If the result is greater than 180°, subtract it from 360° to get the included angle.