What will be the angle between hour hand and minute hand of the clock at 7:15?

The minute hand moves $6°$ per minute (since $360° ÷ 60 = 6°$).

The hour hand moves $0.5°$ per minute (since $360° ÷ 720 = 0.5°$).

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At 7:15, the minute hand is at the 3 on the clock face.

Position of minute hand from 12 o'clock:

$15 \times 6° = 90°$

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At 7:15, the hour hand has moved past the 7.

Position of hour hand at 7:00 from 12 o'clock:

$7 \times 30° = 210°$

Additional movement in 15 minutes:

$15 \times 0.5° = 7.5°$

Total position of hour hand from 12 o'clock:

$210° + 7.5° = 217.5°$

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The angle between the hour hand and minute hand:

$|217.5° - 90°| = 127.5°$

Therefore, the angle between the hands at 7:15 is $127.5°$.