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 simple formula:

Where:

• Given Angle — Must be between 0° and 180°
• Supplementary Angle — Will be between 0° and 180°

3. Importance of Supplementary Angles

Details: Supplementary angles are fundamental in geometry, particularly in the study of parallel lines and transversals, polygons, and circular geometry. They help solve various geometric problems and proofs.

4. Using the Calculator

Tips: Enter any angle between 0 and 180 degrees. The calculator will instantly compute its supplementary angle (180° - given angle).

5. Frequently Asked Questions (FAQ)

Q1: Can an angle have more than one supplementary angle?
A: No, each angle has exactly one supplementary angle (180° - the angle).

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

Q3: Can negative angles or angles greater than 180° have supplements?
A: By definition, supplementary angles are between 0° and 180°.

Q4: Are all linear pairs supplementary?
A: Yes, any two angles that form a linear pair (adjacent and non-common sides are opposite rays) are supplementary.

Q5: How are supplementary angles used in real life?
A: They're used in construction, engineering, navigation, and any field requiring precise angle measurements.