The supplement of `35^(@)` is

Options

A. `55^(@)`
B. `65^(@)`
C. `145^(@)`
D. `165^(@)`

Answer

To find the supplement of \(35^\circ\), we can follow these steps:

### Step-by-Step Solution:

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

2. **Let the Supplement Angle be \(x\)**:
We will denote the supplement of \(35^\circ\) as \(x\).

3. **Set Up the Equation**:
According to the definition, we can write the equation:
\[ 35^\circ + x = 180^\circ \]

4. **Isolate \(x\)**:
To find \(x\), we will subtract \(35^\circ\) from both sides of the equation:
\[ x = 180^\circ - 35^\circ \]

5. **Perform the Calculation**:
Now, we will calculate \(180^\circ - 35^\circ\):
\[ x = 145^\circ \]

6. **Conclusion**:
Therefore, the supplement of \(35^\circ\) is \(145^\circ\).