smc

At $12:25$, the minute hand is at $\frac{25}{60}\cdot 360^{\circ }$, or $150^{\circ }$. The hour hand moves $5$ 'minutes' every hour, or $\frac{5}{60}\cdot 360=30^{\circ }$ every hour. At $30^{\circ }$ every hour, the hour hand moves $\frac{1}{2}$ minutes on the clock every minute. At $12:25$, the hour hand is at ${\frac{25}{2}}^{\circ }$. Therefore, the angle between the hands is $150^{\circ }-{\frac{25}{2}}^{\circ }$, $137.5^{\circ }$, or $137^{\circ }30^{{}^{\prime }}⟹$ $\boxed{137^{\circ }30^{\prime }}$.