1. What Are Supplementary Angles?

Supplementary angles are two angles that add up to 180 degrees. When placed adjacent to each other, they form a straight line. This calculator finds the supplementary angle for any given angle between 0 and 180 degrees.

2. How Does the Calculator Work?

The calculator uses the supplementary angles formula:

Where:

• \( \theta \) — The given angle in degrees (must be between 0° and 180°)
• 180° — The sum of supplementary angles

Explanation: The formula simply subtracts the given angle from 180° to find its supplement.

3. Importance of Supplementary Angles

Details: Supplementary angles are fundamental in geometry, particularly in the study of parallel lines and transversals, polygon angles, and various geometric proofs.

4. Using the Calculator

Tips: Enter any angle between 0 and 180 degrees. The calculator will instantly compute its supplementary angle. Angles outside this range cannot have supplements that form a straight line.

5. Frequently Asked Questions (FAQ)

Q1: Can an angle have more than one supplementary angle?
A: No, each angle between 0° and 180° has exactly one unique supplementary angle.

Q2: What's the supplementary angle of 0°?
A: 180° is the supplement of 0°.

Q3: Are supplementary angles always adjacent?
A: While supplementary angles can be adjacent (forming a straight line), they don't have to be. Any two angles that sum to 180° are supplementary.

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

Q5: Can three angles be supplementary?
A: Yes, three angles can be supplementary if their measures sum to 180°, though typically we refer to pairs of angles as supplementary.