The question asks for the angle between the two hands of a clock when the time is 6:00 in the morning.

At 6:00, the minute hand is at the 12, and the hour hand is at the 6. On a clock, there are 12 hour markings, and the angle between each hour marking is $30^\circ$ (since $\frac{360^\circ}{12} = 30^\circ$).

At 6:00, the two hands are exactly opposite each other, forming a straight line. Therefore, the angle between them is:

$180^\circ$

Thus, the correct answer is B) $180^\circ$.

Would you like more details or have any further questions?

Here are 5 related questions for practice:

1. What is the angle between the hands of a clock at 3:00?
2. How would you calculate the angle at 9:00?
3. What is the angle between the hands of a clock at 2:30?
4. At what times do the hour and minute hands form a $90^\circ$ angle?
5. What is the formula to calculate the angle between the clock hands at any given time?

Tip: The hands of a clock move constantly, so you can use a formula to find the angle between them at any arbitrary time: $\text{Angle} = \left| 30H - \frac{11}{2}M \right|$ where $H$ is the hour and $M$ is the minutes.