COMPLEMENTARY ANGLES If the sum of the measures of two angles is `90^@` then the angles are called complementary angles and each is called a complement of the other.

Answer

To solve the problem regarding complementary angles, we will follow these steps:

### Step-by-Step Solution:

1. **Understanding Complementary Angles**:
- By definition, two angles are complementary if the sum of their measures equals 90 degrees.

2. **Let the Angles be A and B**:
- We denote the two angles as angle A and angle B.

3. **Set Up the Equation**:
- According to the definition, we can write the equation:
\[ A + B = 90^\circ \]

4. **Example with Specific Angles**:
- Let's take an example where angle A is 50 degrees.
- We can express angle B in terms of angle A:
\[ B = 90^\circ - A \]
- Substituting the value of angle A:
\[ B = 90^\circ - 50^\circ = 40^\circ \]

5. **Verification**:
- Now we check if the sum of angle A and angle B equals 90 degrees:
\[ A + B = 50^\circ + 40^\circ = 90^\circ \]
- Since the sum is indeed 90 degrees, we confirm that angles A and B are complementary.

6. **Conclusion**:
- Therefore, angle A (50 degrees) is the complement of angle B (40 degrees), and vice versa.