The angle between the hands of a clock, when the time is 4:25 a.m., is –

Step 1 — Minute hand angle: minute angle = minutes × 6 = 25 × 6 = 150°.

Step 2 — Hour hand angle: hour angle = hours × 30 + minutes × 0.5 = 4 × 30 + 25 × 0.5 = 132.5°.

Step 3 — Angle between the hands: angle = |150 − 132.5| = 17.5°.

Therefore the required smaller angle between the hands at 4:25 is 17½°.