Angle between hour and minute hands at 8:30?

To find the angle between the hour and minute hands at 8:30, we first calculate the position of each hand relative to the 12 o'clock mark. A clock face is 360 degrees, with 12 hours, meaning each hour mark represents 30 degrees (360/12). The minute hand moves 6 degrees per minute (360/60), and the hour hand moves 0.5 degrees per minute (30/60).

• At 8:30, the minute hand is exactly at the 6, so its angle is 30 minutes * 6 degrees/minute = 180 degrees from 12.
• The hour hand at 8:30 is between the 8 and the 9. Its position is (8 hours * 30 degrees/hour) + (30 minutes * 0.5 degrees/minute) = 240 + 15 = 255 degrees from 12.

The absolute difference between their positions is |255° - 180°| = 75 degrees. Therefore, 75° is the correct angle. Options A, B, and D are incorrect calculations.