What is the smaller angle between the hands of the clock shown? (Ignore the seconds.)

The clock shows 8:15. Hour hand: $30\times 8+\frac{15}{2}=247.5^{\circ }$; minute hand: $6\times 15=90^{\circ }$. The difference is $157.5^{\circ }$, which is less than $180^{\circ }$. (150° forgets that the hour hand moves past 8.)