The minute hand moves 6° per minute (since 360°÷60=6°).
The hour hand moves 0.5° per minute (since 360°÷720=0.5°).
At 7:15, the minute hand is at the 3 on the clock face.
Position of minute hand from 12 o'clock:
15×6°=90°
At 7:15, the hour hand has moved past the 7.
Position of hour hand at 7:00 from 12 o'clock:
7×30°=210°
Additional movement in 15 minutes:
15×0.5°=7.5°
Total position of hour hand from 12 o'clock:
210°+7.5°=217.5°
The angle between the hour hand and minute hand:
∣217.5°−90°∣=127.5°
Therefore, the angle between the hands at 7:15 is 127.5°.