The angle between the hour hand and the minute hand, when the time is 6:30 is .

The correct option is A ${15}^{\circ }$

In one hour, the minute hand covers ${360}^{\circ }$ and the hour hand covers ${30}^{\circ }$. When the minute hand covers ${180}^{\circ }$, the hour hand covers ${15}^{\circ }$. So at 6:30, minute hand covers ${180}^{\circ }$ and hour hand covers ${195}^{\circ }$. The angle included between the minute and hour hand at 6:30 is ${15}^{\circ }$.