An angle is its own complement. The measure of the angle is

Options

A. `30^(@)`
B. `45^(@)`
C. `90^(@)`
D. `60^(@)`

Answer

To find the measure of an angle that is its own complement, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Complementary Angles**:
- Complementary angles are two angles whose sum is 90 degrees. If we have an angle \( x \), its complement can be expressed as \( 90 - x \).

2. **Setting Up the Equation**:
- Since the problem states that the angle is its own complement, we can set up the equation:
\[ x = 90 - x \]

3. **Solving the Equation**:
- To solve for \( x \), we can add \( x \) to both sides of the equation:
\[ x + x = 90 \]
- This simplifies to:
\[ 2x = 90 \]

4. **Dividing to Isolate \( x \)**:
- Now, divide both sides by 2 to find the value of \( x \):
\[ x = \frac{90}{2} = 45 \]

5. **Conclusion**:
- Therefore, the measure of the angle is \( 45 \) degrees.

### Final Answer:
The measure of the angle is **45 degrees**.

---