The clock face has 60 minute-spaces. The minute hand moves 6° per minute and the hour hand 0.5° per minute, so the minute hand gains 5.5° (55 minute-spaces per 60 minutes) on the hour hand.
1Angles
Angle between hands at H:M = |30H − 11M/2|; if more than 180°, subtract from 360°
2Positions
Hands coincide 11 times in 12 hours (22 times a day)
Hands are at right angles 22 times in 12 hours (44 a day) and opposite 11 times in 12 hours (22 a day)
Between H and H+1 the hands coincide at 60H/11 minutes past H
3Mirror image
Mirror time = 11:60 − actual time (12:00 − time)