1. What Are Complementary and Supplementary Angles?

Complementary angles are two angles whose measures add up to 90 degrees. Supplementary angles are two angles whose measures add up to 180 degrees. This calculator helps you find the complementary and supplementary angles for any given angle.

2. How Does the Calculator Work?

The calculator uses these simple formulas:

Where:

• \( θ \) — The given angle in degrees
• 90° — Right angle measure for complementary angles
• 180° — Straight angle measure for supplementary angles

3. Practical Applications

Details: Understanding complementary and supplementary angles is essential in geometry, trigonometry, architecture, and engineering. They help in solving problems involving right angles, straight lines, and various geometric constructions.

4. Using the Calculator

Tips: Enter any angle between 0° and 360°. The calculator will instantly compute its complementary and supplementary angles. Remember that complementary angles only exist for angles less than or equal to 90°.

5. Frequently Asked Questions (FAQ)

Q1: Can an angle have both complementary and supplementary angles?
A: Yes, any angle between 0° and 90° will have both complementary and supplementary angles.

Q2: What if I enter an angle greater than 90°?
A: The calculator will still show the supplementary angle, but the complementary angle will be negative (since 90° - θ < 0).

Q3: What about angles greater than 180°?
A: The calculator will show negative supplementary angles for θ > 180° (since 180° - θ < 0).

Q4: Are there any restrictions on the angle value?
A: The calculator accepts any angle from 0° to 360°, though angles outside this range can be reduced modulo 360.

Q5: How precise are the calculations?
A: The calculator provides results with 4 decimal places for precise measurements.