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°.

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, so 25 minutes is 5 marks past the hour).

2. The hour hand is between 10 and 11. To find its exact position, we know that the hour hand moves 0.5 degrees per minute (360 degrees divided by 12 hours is 30 degrees per hour, divided by 60 minutes is 0.5 degrees per minute). So at 25 minutes past 10, the hour hand has moved 12.5 degrees past the 10 hour mark (25 minutes times 0.5 degrees per minute).

3. Now we find the angle between the hour and minute hands. The minute hand at 5 is 150 degrees from the top of the clock (30 degrees per hour mark times 5). The hour hand is 300 degrees from the top of the clock (30 degrees per hour mark times 10 plus the extra 12.5 degrees). So the angle between the hands is 150 degrees minus 300 degrees, which is -150 degrees.

4. But angles are always positive, so we add 360 degrees to get the reflex angle, which is 210 degrees.

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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 minute is 6 degrees, so 25 minutes is 150 degrees from the 12 o'clock position).
2. The hour hand is between 10 and 11. Each hour is 30 degrees, so 10 hours is 300 degrees from the 12 o'clock position. But since it's 25 minutes past 10, the hour hand is further along. Each minute moves the hour hand 0.5 degrees, so 25 minutes is an additional 12.5 degrees. So the hour hand is at 300 + 12.5 = 312.5 degrees.

The smaller angle between the hands is the absolute difference between these two positions, which is 312.5 - 150 = 162.5 degrees.

But since we're asked for the reflex angle (the larger angle between the hands), we subtract this from 360 degrees.

So, the reflex angle between the hands of a clock at 10:25 is 360 - 162.5 = 197.5°.