The angle between the Minute hand and the Hour hand of a clock when the time is 8:30.55°65°95°75°

To find the angle between the hour and minute hand at 8:30, we can use the following steps:

1. Calculate the position of the hour hand: At 8 o'clock, the hour hand is at 240° (as each hour corresponds to 30° - 360°/12 hours = 30° per hour). By 8:30, the hour hand has moved halfway between 8 and 9, so it has moved an additional 15° (30°/2 = 15°). So, the total position of the hour hand is 240° + 15° = 255°.

2. Calculate the position of the minute hand: At 30 minutes, the minute hand is at 180° (as each minute corresponds to 6° - 360°/60 minutes = 6° per minute). So, the total position of the minute hand is 180°.

3. Subtract the smaller angle from the larger to find the angle between the two hands: 255° - 180° = 75°.

So, the angle between the hour and minute hand at 8:30 is 75°.