1. What Are Supplementary Angles?

Two angles are called supplementary when their measures add up to 180 degrees. This relationship is fundamental in geometry, especially when working with linear pairs and parallel lines.

2. How the Calculator Works

The calculator uses the simple formula:

Where:

• \( θ \) — Given angle in degrees
• \( \text{supp} \) — Supplementary angle in degrees

Explanation: The supplementary angle is what you need to add to your given angle to make 180 degrees.

3. Properties of Supplementary Angles

Key Facts:

• Two right angles (90° each) are supplementary
• Supplementary angles don't need to be adjacent
• In parallel lines cut by a transversal, same-side interior angles are supplementary

4. Using the Calculator

Instructions: Enter any angle between 0° and 180° to find its supplement. The calculator will show the angle that completes it to 180°.

5. Frequently Asked Questions (FAQ)

Q1: Can an angle have more than one supplementary angle?
A: No, each angle has exactly one supplementary angle (unless it's exactly 180° itself).

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

Q3: Do supplementary angles have to be adjacent?
A: No, they just need to add to 180°. Adjacent supplementary angles form a linear pair.

Q4: What's the supplement of 0°?
A: 180° is the supplement of 0°.

Q5: Can negative angles be supplementary?
A: In standard geometry, angles are measured between 0° and 180°, so negative angles aren't considered.