[ [Measuring lengths of segments and measures of angles. Adjacent angles. $]$ Central angle. Length of an arc and circumference ]

Determine the angle between the hour and minute hands of a clock showing 4 hours and 10 minutes, given that both hands move at constant speeds.

#
At 4:00, the minute hand was "behind" the hour hand by $120^{\circ}$. In the 10 minutes that passed after this moment, the hour hand will "travel" $5^{\circ}$, and the minute hand will travel $60^{\circ}$ (see problem $\underline{54776}$), so the angle between them is $120^{\circ}+5^{\circ}-60^{\circ}=65^{\circ}$.

## Answer

$65^{\circ}$.