The minute hand moves 360° in 60 minutes, so it moves 6° per minute.
At 14 minutes, the minute hand is at:
14×6°=84° from 12 o'clock
The hour hand moves 360° in 12 hours (720 minutes), so it moves 0.5° per minute.
At 6:14:
- At 6:00, the hour hand is at 180° from 12 o'clock
- In the additional 14 minutes, it moves 14×0.5°=7°
Position of hour hand:
180°+7°=187° from 12 o'clock
The angle between the two hands:
∣187°−84°∣=103°
Therefore, the angle made by the hands at 6:14 is 103°.