Find the number of right angles turned through by the hour hand of a clock when it goes from
2 to 8

Answer

To find the number of right angles turned through by the hour hand of a clock when it goes from 2 to 8, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Positions on the Clock:**
- The hour hand starts at 2 and moves to 8 on the clock face.

2. **Count the Number of Hour Intervals:**
- From 2 to 8, the hour hand moves through the following hours: 2, 3, 4, 5, 6, 7, and finally reaches 8.
- This is a total of 6 hours (2 to 3, 3 to 4, 4 to 5, 5 to 6, 6 to 7, and 7 to 8).

3. **Calculate the Degrees Turned:**
- The hour hand of a clock moves at a rate of 30 degrees per hour (since 360 degrees / 12 hours = 30 degrees per hour).
- Therefore, in 6 hours, the hour hand will turn:
\[ 6 \text{ hours} \times 30 \text{ degrees/hour} = 180 \text{ degrees} \]

4. **Determine the Number of Right Angles:**
- A right angle is 90 degrees. To find the number of right angles in 180 degrees, we divide:
\[ \frac{180 \text{ degrees}}{90 \text{ degrees/right angle}} = 2 \text{ right angles} \]

5. **Conclusion:**
- Thus, the hour hand turns through **2 right angles** when it moves from 2 to 8.

### Final Answer:
The number of right angles turned through by the hour hand of a clock when it goes from 2 to 8 is **2 right angles**.