1. What Are Complementary and Supplementary Angles?

Complementary angles are two angles that add up to 90 degrees, while supplementary angles add up to 180 degrees. This calculator helps you find these angle relationships for any given angle.

2. How Does the Calculator Work?

The calculator uses these simple formulas:

Where:

• \( θ \) — Your input angle in degrees
• 90° — Right angle measurement
• 180° — Straight angle measurement

Explanation: The calculator subtracts your angle from 90° to find its complement and from 180° to find its supplement.

3. Importance of Angle Relationships

Details: Understanding complementary and supplementary angles is fundamental in geometry, helping solve problems involving triangles, parallel lines, and polygons.

4. Using the Calculator

Tips: Enter any angle between 0° and 180° to find its complementary and supplementary angles. Angles greater than 90° won't have a complementary angle (result will be negative).

5. Frequently Asked Questions (FAQ)

Q1: What if my angle is greater than 90°?
A: Angles greater than 90° don't have complementary angles (result will be negative), but they still have supplementary angles.

Q2: Can an angle be both complementary and supplementary?
A: No, an angle can't be both. Complementary angles sum to 90° while supplementary angles sum to 180°.

Q3: What about angles greater than 180°?
A: Our calculator works with angles up to 180°. For reflex angles (greater than 180°), different relationships apply.

Q4: Are the results always positive?
A: Complementary results may be negative if θ > 90°. Supplementary results will always be positive for θ < 180°.

Q5: How precise are the calculations?
A: Results are precise to two decimal places, suitable for most geometry applications.