1. What Are Complementary Angles?

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

2. How Does the Calculator Work?

The calculator uses the complementary angle theorem:

Where:

• \( \theta \) — Given angle in degrees
• 90° — Right angle measure

Explanation: The formula simply subtracts the given angle from 90° to find its complement.

3. Importance of Complementary Angles

Details: Complementary angles are fundamental in geometry, especially in right triangles where the two non-right angles are always complementary. They're also important in trigonometry and various engineering applications.

4. Using the Calculator

Tips: Enter any angle between 0° and 90°. The calculator will compute its complement (the angle that when added to it makes 90°).

5. Frequently Asked Questions (FAQ)

Q1: Can complementary angles be negative?
A: No, angles are always positive in this context. Both the given angle and its complement must be between 0° and 90°.

Q2: What's the complement of 45°?
A: 45° is its own complement since 90° - 45° = 45°.

Q3: Are complementary angles always adjacent?
A: No, they don't need to be adjacent. They just need to add up to 90°.

Q4: What's the difference between complementary and 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 as their sum must be exactly 90°.