The supplement of `80^@` is

Options

A. `10^@`
B. `100^@`
C. `280^@`
D. `120^@`

Answer

To find the supplement of \(80^\circ\), we follow these steps:

### Step-by-Step Solution:

1. **Understanding Supplementary Angles**:
The supplement of an angle is what you add to that angle to get \(180^\circ\). In other words, if we have an angle \(A\) and its supplement \(B\), then:
\[ A + B = 180^\circ \]

2. **Identify the Given Angle**:
In this case, the given angle is \(80^\circ\). We need to find its supplement.

3. **Set Up the Equation**:
Let \(x\) be the supplement of \(80^\circ\). According to the definition of supplementary angles, we can write the equation:
\[ 80^\circ + x = 180^\circ \]

4. **Solve for \(x\)**:
To find \(x\), we will subtract \(80^\circ\) from both sides of the equation:
\[ x = 180^\circ - 80^\circ \]
\[ x = 100^\circ \]

5. **Conclusion**:
Therefore, the supplement of \(80^\circ\) is \(100^\circ\).

### Final Answer:
The supplement of \(80^\circ\) is \(100^\circ\).

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