Problem 5. What angle do the hour and minute hands of a clock form at 8:10?
Solution. The angle between the hour and minute hands at 8:00 is $120^{\circ}$. The minute hand moves 12 times faster than the hour hand. From 8:00 to 8:10, the minute hand will move by an angle of $60^{\circ}$, while the hour hand will move by 12 times less, i.e., $60^{\circ} : 12 = 5^{\circ}$. Therefore, the angle between the hour and minute hands at 8:10 will be $120^{\circ} + 60^{\circ} - 5^{\circ} = 175^{\circ}$

## VII Section