1. What is a Supplementary Angle?

Two angles are called supplementary when their measures add up to 180 degrees. If one angle is known, its supplementary angle can be found by subtracting it from 180°.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( \theta \) — The known angle in degrees
• 180° — The sum of supplementary angles

3. Importance of Supplementary Angles

Details: Supplementary angles are fundamental in geometry, especially when working with linear pairs of angles or parallel lines cut by a transversal.

4. Using the Calculator

Tips: Enter any angle between 0° and 180° to find its supplementary angle. The result will be between 0° and 180°.

5. Frequently Asked Questions (FAQ)

Q1: Can supplementary angles be negative?
A: No, angles in geometry are always positive values between 0° and 360°.

Q2: Are all supplementary angles adjacent?
A: No, supplementary angles can be either adjacent (forming a linear pair) or non-adjacent.

Q3: What's the supplementary angle of 0°?
A: 180°, since 180° - 0° = 180°.

Q4: What's the supplementary angle of 90°?
A: 90°, making it a special case where an angle is equal to its supplement.

Q5: How is this different from complementary angles?
A: Complementary angles add up to 90°, while supplementary angles add up to 180°.