A railway-station clock shows 10:25. Find the smaller angle between its hour hand and minute hand.

Explanation

1. 01

   Angle $= |30 \times 10 - 5.5 \times 25| = |300 - 137.5| = 162.5^\circ$.

2. 02

   $162.5^\circ$ is less than $180^\circ$, so it is the angle between the hands.