1. What is a Supplementary Angle?

A supplementary angle is one of two angles that add up to 180 degrees. When two angles are supplementary, they form a straight line together.

2. How Does the Calculator Work?

The calculator uses the supplementary angle formula:

Where:

• \( \theta \) — Given angle in degrees
• 180° — Total degrees in a straight angle

Explanation: The formula simply subtracts the given angle from 180 degrees to find its supplementary angle.

3. Importance of Supplementary Angles

Details: Supplementary angles are fundamental in geometry, particularly in the study of parallel lines, triangles, and various geometric proofs. They help in solving problems involving angle relationships and measurements.

4. Using the Calculator

Tips: Enter the angle value in degrees (0-180). The calculator will compute and display the supplementary angle.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of valid input angles?
A: The input angle must be between 0 and 180 degrees inclusive.

Q2: Can supplementary angles be negative?
A: No, angles are typically measured as positive values between 0 and 180 degrees.

Q3: Are supplementary angles always adjacent?
A: No, supplementary angles don't have to be adjacent. They just need to sum to 180 degrees.

Q4: What's the difference between supplementary and complementary angles?
A: Supplementary angles sum to 180 degrees, while complementary angles sum to 90 degrees.

Q5: Can two obtuse angles be supplementary?
A: No, because two obtuse angles (each >90°) would sum to more than 180 degrees.