Find the angle which is equal to its complement

Answer

To find the angle that is equal to its complement, we can follow these steps:

### Step 1: Define the angle
Let the required angle be \( x \) degrees.

### Step 2: Write the expression for the complement
The complement of the angle \( x \) is given by \( 90 - x \) degrees.

### Step 3: Set up the equation
According to the problem, the angle \( x \) is equal to its complement. Therefore, we can write the equation:
\[ x = 90 - x \]

### Step 4: Solve the equation
To solve for \( x \), we can add \( x \) to both sides of the equation:
\[ x + x = 90 \]
This simplifies to:
\[ 2x = 90 \]

### Step 5: Divide by 2
Now, we divide both sides by 2 to isolate \( x \):
\[ x = \frac{90}{2} \]
This gives us:
\[ x = 45 \]

### Step 6: Conclusion
Thus, the angle that is equal to its complement is \( 45 \) degrees.