The Reflex angle between the hands of a clock at 10:25 is:197.5°200.5°97.5°162.5°

To find the reflex angle between the hands of a clock at 10:25, we first need to find the position of the hour and minute hands.

1. At 10:25, the minute hand is at 5 (each hour mark corresponds to 5 minutes).

2. The hour hand is between 10 and 11. To find the exact position, we know that in 60 minutes, the hour hand moves 30 degrees (360 degrees / 12 hours = 30 degrees per hour). So in 25 minutes, the hour hand moves approximately 12.5 degrees (30 degrees * (25/60)).

3. So the hour hand is 10 * 30 + 12.5 = 312.5 degrees around the clock from the 12 o'clock position.

4. The minute hand is 5 * 30 = 150 degrees around the clock from the 12 o'clock position.

5. The smaller angle between the hands is |312.5 - 150| = 162.5 degrees.

6. But we want the reflex angle, which is the larger angle between the hands. So we subtract the smaller angle from 360 degrees to get the reflex angle.

7. 360 - 162.5 = 197.5 degrees.

So, the reflex angle between the hands of a clock at 10:25 is 197.5°.