The compound `MX_(4)` is tetrahedral. The number of `angleXMX` angles formed in the compound is

Options

A. three
B. four
C. five
D. six

Answer

To determine the number of `angle XMX` angles formed in the tetrahedral compound `MX4`, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Tetrahedral Geometry**:
- The compound `MX4` has a tetrahedral geometry, which means that the central atom `M` is surrounded by four `X` atoms at the corners of a tetrahedron.

2. **Identifying the Angles**:
- In a tetrahedral structure, there are multiple angles formed between the central atom `M` and the surrounding atoms `X`. Specifically, we are interested in the angles formed between the lines connecting the central atom `M` to the surrounding atoms `X`.

3. **Counting the Unique Angles**:
- For a tetrahedral structure with four surrounding atoms, we can label them as `X1`, `X2`, `X3`, and `X4`. The angles formed between these atoms and the central atom `M` are:
- Angle between `X1`, `M`, and `X2`
- Angle between `X1`, `M`, and `X3`
- Angle between `X1`, `M`, and `X4`
- Angle between `X2`, `M`, and `X3`
- Angle between `X2`, `M`, and `X4`
- Angle between `X3`, `M`, and `X4`

4. **Total Number of Angles**:
- By listing all the unique combinations, we find that there are a total of 6 unique `angle XMX` angles formed in the tetrahedral structure.

5. **Conclusion**:
- Therefore, the number of `angle XMX` angles formed in the compound `MX4` is **6**.

### Final Answer:
The number of `angle XMX` angles formed in the compound `MX4` is **6**.