At 6 o'clock, what is the angle made by the hands of a clock?

Given : Time = $6$o'clock

To find: The angle made by the hands of a clock at $6$o'clock.

Solution:

At $6$ o'clock, the minute hand of the clock is at $12$ and the hour hand is at $6$

We know, that each division of the clock represents $30°$

Thus, the number of divisions between two hands of a clock at $6$o'clock is $6$ divisions

Therefore, the angle between the hands of a clock at $6$o'clock is $6\times 30°=180°$

Hence, the correct option is option B.