Question

What is the angle between the hands of a clock when the time is 1:30?

• A. 95°
• B. 120°
• C. 135°
• D. 165°

Hint:

When calculating angles between clock hands, use the formula \( \text{Angle} = \left| 30H - \frac{11}{2}M \right| \) where \(H\) is the hour and \(M\) is the minute.

Answer 1

The Correct Option is C

To find the angle between the clock hands at 1:30, we use the following formula: \[ \text{Angle} = \left| 30H - \frac{11}{2}M \right| \] where \(H\) is the hour and \(M\) is the minute. For 1:30: - \(H = 1\) - \(M = 30\) Substitute these values into the formula: \[ \text{Angle} = \left| 30 \times 1 - \frac{11}{2} \times 30 \right| = \left| 30 - 165 \right| = 135° \] Thus, the angle between the hands at 1:30 is 135°. Therefore, the correct answer is (3) 135°.