mchulet
like NoSoul8 said, the hour hand moves 30 degrees per hour (360/12). The minute hand moves 6 degrees per minute (360/60).
Since there are 60 minutes in an hour, that means that the hour hand moves 30/60 or 0.5 degrees every minute. So, you take the number of minutes and multiply it by how much the hour hand moves per minute:
if the minute hand at the 6 on the clock face (30 minutes after hour), the hour hand should be half way between two hours (30 minutes x 0.5 = 15 degrees).
if the minute hand is at the 9, then the hour hand should be at 45 minutes x 0.5 or 22.5 degrees past the hour it started at.
if the minute hand is at the 2, then the hour hand should be at 10 minutes x 0.5 or 5 degrees past the hour it started at...
so, if the time is 4:15 then the hour hand will be at 4 x 30 + 15 x 0.5 = 127.5 degrees, which will place it a quarter of the way past the 4.
(obviously, you still have to add in the 270 degrees to get the hands positioned relative to 12 o'clock, because C2 thinks zero degrees is at 3 o'clock)