What will be anlgle between the two hands of a clock at 9:50 ?

Answer

To find the angle between the two hands of a clock at 9:50, we can use the formula:

\[ \text{Angle} = \left| \frac{11}{2}M - 30R \right| \]

where:
- \( M \) is the number of minutes,
- \( R \) is the number of hours.

### Step-by-Step Solution:

1. **Identify the values of \( M \) and \( R \)**:
- At 9:50, the minute hand is at 50 minutes, so \( M = 50 \).
- The hour hand is at 9, so \( R = 9 \).

2. **Substitute the values into the formula**:
\[ \text{Angle} = \left| \frac{11}{2} \times 50 - 30 \times 9 \right| \]

3. **Calculate \( \frac{11}{2} \times 50 \)**:
\[ \frac{11}{2} \times 50 = \frac{550}{2} = 275 \]

4. **Calculate \( 30 \times 9 \)**:
\[ 30 \times 9 = 270 \]

5. **Subtract the two results**:
\[ 275 - 270 = 5 \]

6. **Take the absolute value**:
\[ \text{Angle} = |5| = 5 \text{ degrees} \]

### Final Answer:
The angle between the two hands of the clock at 9:50 is **5 degrees**.