The complement of `80^(@)` is

Options

A. `100^(@)`
B. `10^(@)`
C. `20^(@)`
D. `280^(@)`

Answer

To find the complement of an angle, we use the property that the sum of an angle and its complement is always 90 degrees. Here’s how to solve the problem step by step:

### Step-by-Step Solution:

1. **Understand the Concept of Complementary Angles**:
- Complementary angles are two angles whose sum is 90 degrees. If one angle is known, the complement can be found by subtracting that angle from 90 degrees.

2. **Identify the Given Angle**:
- In this case, the given angle is 80 degrees.

3. **Set Up the Equation**:
- Let the complement of 80 degrees be represented as \( x \). According to the definition of complementary angles, we can write the equation:
\[ 80^\circ + x = 90^\circ \]

4. **Solve for \( x \)**:
- To find \( x \), we need to isolate it on one side of the equation. We can do this by subtracting 80 degrees from both sides:
\[ x = 90^\circ - 80^\circ \]

5. **Calculate the Value**:
- Now, perform the subtraction:
\[ x = 10^\circ \]

6. **State the Result**:
- Therefore, the complement of 80 degrees is \( 10^\circ \).

### Final Answer:
The complement of \( 80^\circ \) is \( 10^\circ \).