The measure of the supplementary angle of an angle with measure `70^(@)` is ........... .

Options

A. `20^(@)`
B. `35^(@)`
C. `70^(@)`
D. `110^(@)`

Answer

To find the measure of the supplementary angle of an angle measuring \(70^\circ\), we can follow these steps:

### Step-by-Step Solution:

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

2. **Identify the Given Angle**:
- We are given one angle, which is \(70^\circ\).

3. **Set Up the Equation**:
- Let the measure of the supplementary angle be \(x\). According to the definition of supplementary angles, we can write the equation:
\[ 70 + x = 180 \]

4. **Solve for \(x\)**:
- To find \(x\), we need to isolate it on one side of the equation. We can do this by subtracting \(70\) from both sides:
\[ x = 180 - 70 \]

5. **Calculate the Value of \(x\)**:
- Now, perform the subtraction:
\[ x = 110 \]

6. **State the Final Answer**:
- Therefore, the measure of the supplementary angle of an angle measuring \(70^\circ\) is:
\[ 110^\circ \]

### Final Answer:
The measure of the supplementary angle of an angle with measure \(70^\circ\) is \(110^\circ\).