Find the angle which is its own component.

Answer

To find the angle which is its own component, we can follow these steps:

### Step-by-Step Solution:

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

2. **Understanding the Component**: According to the problem, the angle is equal to its own component. Therefore, we can say that the component is also \( x \).

3. **Set Up the Equation**: Since the angle and its component are equal, we can express this relationship as:
\[ x + x = 90 \]
This is because the sum of the angle and its component must equal \( 90 \) degrees (as they are complementary).

4. **Simplify the Equation**: Combine like terms:
\[ 2x = 90 \]

5. **Solve for \( x \)**: To find \( x \), divide both sides of the equation by \( 2 \):
\[ x = \frac{90}{2} \]
Simplifying this gives:
\[ x = 45 \]

6. **Conclusion**: Therefore, the angle which is its own component is:
\[ x = 45 \text{ degrees} \]

### Final Answer:
The angle is \( 45 \) degrees.

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