If the time is 2:45, what is the angle between hour hand and minute hand?*180.0°187.5°192.5°196.0°

To solve this problem, we need to understand that in a clock:

1. The minute hand moves 360 degrees in 60 minutes (or 6 degrees per minute).
2. The hour hand moves 360 degrees in 12 hours (or 0.5 degrees per minute).

At 2:45, the minute hand will be at the 9 (45 minutes * 6 degrees per minute = 270 degrees from the top of the clock).

The hour hand will be 3/4 of the way between the 2 and the 3 (2 hours * 30 degrees per hour + 45 minutes * 0.5 degrees per minute = 105 degrees from the top of the clock).

To find the angle between the two hands, we subtract the smaller angle from the larger angle. So, 270 degrees - 105 degrees = 165 degrees.

So, the angle between the hour hand and the minute hand at 2:45 is 165 degrees. However, this option is not given in your question. The options might be incorrect.