1. What is a Complementary Angle?

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 degrees.

2. How Does the Calculator Work?

The calculator uses the complementary angle formula:

Where:

• \( θ \) — Given angle in degrees (must be between 0° and 90°)
• \( \text{comp} \) — Complementary angle result

3. Practical Applications

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 any angle between 0 and 90 degrees. The calculator will compute its complement. Angles outside this range cannot have complements in standard geometry.

5. Frequently Asked Questions (FAQ)

Q1: Can an angle be complementary to itself?
A: Yes, a 45° angle is complementary to itself (45° + 45° = 90°).

Q2: What's the difference between complementary and supplementary angles?
A: Complementary angles sum to 90°, while supplementary angles sum to 180°.

Q3: Can complementary angles be negative?
A: No, in standard geometry, angle measures are positive and less than 90° for complements.

Q4: Are the angles in a right triangle complementary?
A: Yes, the two non-right angles in a right triangle are always complementary.

Q5: What if I enter an angle greater than 90 degrees?
A: The calculator will only accept values between 0 and 90 degrees.