1. What Are Complementary Angles?

Two angles are complementary when they add up to 90 degrees. If one angle is known, its complement can be found by subtracting it from 90°.

2. How to Find Complementary Angles

The formula for complementary angles is:

Where:

• \( θ \) — The known angle (in degrees)
• \( comp \) — Its complementary angle (in degrees)

Example: If θ = 30°, then its complement is 90° - 30° = 60°.

3. Practical Applications

Details: Complementary angles are frequently used in geometry, trigonometry, and various engineering applications where right angles are involved.

4. Using the Calculator

Tips: Enter the known angle in degrees (must be between 0° and 90°). The calculator will compute its complement.

5. Frequently Asked Questions (FAQ)

Q1: Can complementary angles be negative?
A: No, both angles must be positive and their sum must be exactly 90 degrees.

Q2: What if my angle is greater than 90 degrees?
A: Angles greater than 90° don't have complements in the traditional sense. The calculator only accepts values between 0° and 90°.

Q3: Are all right angles complementary?
A: A single right angle (90°) is its own complement (0°), but typically we talk about two different angles that sum to 90°.

Q4: How are complementary angles different from supplementary angles?
A: Complementary angles sum to 90°, while supplementary angles sum to 180°.

Q5: Can three angles be complementary?
A: No, by definition only two angles can be complementary to each other.