Find the measure of an angle which is `36^(@)` more than its complement.

Options

A. `62^(@)`
B. `63^(@)`
C. `64^(@)`
D. `65^(@)`

Explanation

To find the measure of an angle that is `36°` more than its complement, we can follow these steps:

### Step-by-Step Solution:

1. **Define the Angle**:
Let the angle be denoted as \( x \).

2. **Define the Complement**:
The complement of the angle \( x \) is given by \( 90° - x \).

3. **Set Up the Equation**:
According to the problem, the angle \( x \) is `36°` more than its complement. Therefore, we can write the equation:
\[ x = (90° - x) + 36° \]

4. **Simplify the Equation**:
Rearranging the equation gives:
\[ x = 90° - x + 36° \]
Combine like terms:
\[ x = 126° - x \]

5. **Combine Like Terms**:
Add \( x \) to both sides to isolate \( x \):
\[ x + x = 126° \]
This simplifies to:
\[ 2x = 126° \]

6. **Solve for \( x \)**:
Divide both sides by 2:
\[ x = \frac{126°}{2} = 63° \]

7. **Conclusion**:
The measure of the angle is \( 63° \).