What will be the angle between the hands of the clock at 8:30?

The correct answer is Option (2) → 75°

The standard formula to find the angle $\theta$ between the hour hand and the minute hand is:

$\theta = \left| 30H - \frac{11}{2}M \right|$

Where:

• H = Hours (8)
• M = Minutes (30)

Calculation:

1. Multiply the hours by 30: $30 \times 8 = 240$
2. Multiply the minutes by $11/2$: $\frac{11}{2} \times 30 = 11 \times 15 = 165$
3. Subtract the two values: $240 - 165 = 75$

The angle is 75°.