The supplement of `45^(@)` is

Options

A. `45^(@)`
B. `75^(@)`
C. `135^(@)`
D. `155^(@)`

Answer

To find the supplement of a 45-degree angle, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Supplementary Angles**:
Supplementary angles are two angles whose sum is 180 degrees.

2. **Set Up the Equation**:
Let the supplement of the 45-degree angle be represented as \( x \). According to the definition, we can write the equation:
\[ 45^\circ + x = 180^\circ \]

3. **Isolate \( x \)**:
To find \( x \), we need to isolate it on one side of the equation. We can do this by subtracting 45 degrees from both sides:
\[ x = 180^\circ - 45^\circ \]

4. **Perform the Calculation**:
Now, we perform the subtraction:
\[ x = 135^\circ \]

5. **Conclusion**:
Therefore, the supplement of a 45-degree angle is \( 135^\circ \).

### Final Answer:
The supplement of 45 degrees is \( 135^\circ \).

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