[ Measurement of 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 1 hour and 10 minutes, given that both hands move at constant speeds.
At 1:00, the minute hand was "behind" the hour hand by $30^{\circ}$. In the 10 minutes that passed after this moment, the hour hand will "travel" $5^{\circ}$, and the minute hand $-60^{\circ}$ (see problem $\underline{54776}$ ), so the angle between them is $60^{\circ}-30^{\circ}-5^{\circ}=25^{\circ}$.

## Answer

Problem