waht willl be the reflex angle between the hands of a clock at 10:30

To find the reflex angle between the hands of a clock at 10:30, we first need to understand how the position of the hands on a clock relate to the time.

1. First, note that in one hour, the minute hand makes a full circle, which is 360 degrees. So, for each minute, the minute hand moves 360/60 = 6 degrees.

2. The hour hand moves slower. It takes 12 hours to make a full circle, so it moves 360/12 = 30 degrees per hour. But it also moves a little bit each minute. In fact, it moves 30/60 = 0.5 degrees per minute.

3. At 10:30, the minute hand is at the 6, which is 180 degrees from the top of the clock.

4. The hour hand is halfway between the 10 and the 11. Since each hour mark is 30 degrees, this is 10.5 * 30 = 315 degrees from the top of the clock.

5. The difference between 315 degrees and 180 degrees is 135 degrees. This is the acute angle between the hands of the clock.

6. But the question asks for the reflex angle, which is the larger angle between the hands. To find this, we subtract the acute angle from 360 degrees.

7. So, the reflex angle between the hands of a clock at 10:30 is 360 - 135 = 225 degrees.