If Dan turns the hour hand of a clock anticlockwise from 2 pm to 8 am, how many degrees will it have turned?

To solve this problem, we need to understand that a full rotation of the hour hand on a clock represents 12 hours and is equivalent to 360 degrees. Therefore, each hour represents a 30-degree rotation (360 degrees / 12 hours = 30 degrees/hour).

Now, let's calculate the time difference between 2 pm and 8 am. If we go backwards from 2 pm to 12 pm, that's 2 hours. Then, if we continue to 8 am, that's an additional 4 hours. So, the total time difference is 6 hours.

Finally, we multiply the time difference by the degrees per hour. So, 6 hours * 30 degrees/hour = 180 degrees.

Therefore, if Dan turns the hour hand of a clock anticlockwise from 2 pm to 8 am, it will have turned 180 degrees.