Write the supplement of each of the following angles:
`105^(@)`

Answer

To find the supplement of the angle \( 105^\circ \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Supplementary Angles**:
- Supplementary angles are two angles whose sum is \( 180^\circ \).

2. **Identify the Given Angle**:
- The given angle is \( 105^\circ \).

3. **Set Up the Equation**:
- Let the supplement of \( 105^\circ \) be \( x \).
- According to the definition of supplementary angles, we can write the equation:
\[ 105^\circ + x = 180^\circ \]

4. **Solve for \( x \)**:
- To find \( x \), we subtract \( 105^\circ \) from \( 180^\circ \):
\[ x = 180^\circ - 105^\circ \]

5. **Calculate the Value**:
- Perform the subtraction:
\[ x = 75^\circ \]

6. **Conclusion**:
- The supplement of \( 105^\circ \) is \( 75^\circ \).

### Final Answer:
The supplement of \( 105^\circ \) is \( 75^\circ \).

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