Find the angle which is `60^(@)` more than it complement.

Answer

To solve the problem of finding the angle which is 60 degrees more than its complement, we can follow these steps:

### Step-by-Step Solution:

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

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

3. **Set Up the Equation**: According to the problem, the angle \( x \) is 60 degrees more than its complement. This can be expressed mathematically as:
\[ x = (90 - x) + 60 \]

4. **Simplify the Equation**: Now, we simplify the equation:
\[ x = 90 - x + 60 \]
\[ x = 150 - x \]

5. **Combine Like Terms**: To isolate \( x \), we add \( x \) to both sides:
\[ x + x = 150 \]
\[ 2x = 150 \]

6. **Solve for \( x \)**: Now, divide both sides by 2 to find \( x \):
\[ x = \frac{150}{2} = 75 \]

7. **Conclusion**: The angle which is 60 degrees more than its complement is \( 75 \) degrees.

### Final Answer:
The angle is \( 75^\circ \).

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