3. (5 points) As shown in the figure, the clock displays $9: 15$, at this time the angle between the minute hand and the hour hand is $\qquad$ degrees.
【Solution】Solution: Since the angle between “10” and “3” is $30^{\circ} \times 5=150^{\circ}$, the deviation of the hour hand from “10” is: $30^{\circ} \times\left(1-\frac{15}{60}\right)$
$$
\begin{array}{l}
=30^{\circ} \times \frac{3}{4} \\
=22.5^{\circ},
\end{array}
$$

Therefore, the angle between the hour hand and the minute hand should be $150^{\circ}+22.5^{\circ}=172.5^{\circ}$.
Answer: When the clock shows 9:15, the angle between the minute hand and the hour hand is 172.5 degrees. Therefore, the answer is: 172.5.