If it is 09:20, then what is the angle between the hands of the clock?

Solution: Calculate the angles of the hour and minute hands measured from 12 o'clock, then take their difference.

• Hour hand angle = 30 × hour + 0.5 × minutes = 30 × 9 + 0.5 × 20 = 270 + 10 = 280°.

• Minute hand angle = 6 × minutes = 6 × 20 = 120°.

• Angle between the hands = |280° − 120°| = 160°.

Therefore, the angle between the hands at 09:20 is 160°.