1. What is the Complement of an Angle?

The complement of an angle is what, when added to it, equals 90 degrees. Two angles are called complementary when their measures add to 90 degrees.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

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

Explanation: The formula directly calculates the angle needed to complete a right angle (90°).

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.

4. Using the Calculator

Tips: Enter an angle between 0 and 90 degrees. The calculator will show its complement. Values outside this range are invalid for complementary angles.

5. Frequently Asked Questions (FAQ)

Q1: What's the complement of 45 degrees?
A: 45 degrees, since 90° - 45° = 45°. This is the only angle equal to its complement.

Q2: Can an angle have more than one complement?
A: No, each angle has exactly one complement that makes the sum 90 degrees.

Q3: What's the difference between complement and supplement?
A: Complements add to 90 degrees, supplements add to 180 degrees.

Q4: Do complementary angles have to be adjacent?
A: No, they just need to add to 90°. They can be separate angles.

Q5: What if I enter an angle greater than 90 degrees?
A: The calculator will not accept values >90° as they cannot have complements.