Angle between hours and minutes hand

Degree of angle between hour and minute hand when the time is 2:20?

Calculate the angle from each hand to 12 o'clock.Add the two angles.If it is more than 180,return the difference between 360 and angle.Each hour on the clock is 360/12 or 30 degrees, so the minute hand has gone 4 x 30 = 120 degrees from 12 o'clock. The hour hand has gone 2 x 30 plus the extra bit between 2 and 3 o'clock. That extra bit is 20/60 minutes, or 1/3 of 30 degrees. So the hour hand has gone 60 + 10 = 70 degrees from 12 o'clock. The difference is 120 - 70 = 50 degrees between the two hands.