1. What is the Relation Between Two Angles?

Definition: This calculator finds the supplementary angle (θ₂) when given an angle (θ₁). Supplementary angles add up to 180 degrees.

Purpose: It helps in geometry problems where you need to find the missing angle in a linear pair or straight line configuration.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta_1 \) — Given angle (degrees)
• \( \theta_2 \) — Supplementary angle (degrees)

Explanation: When two angles are supplementary, they form a straight line (180 degrees) together.

3. Importance of Angle Relationships

Details: Understanding supplementary angles is fundamental in geometry, helping solve problems involving triangles, parallel lines, and polygons.

4. Using the Calculator

Tips: Enter the known angle (θ₁) between 0 and 180 degrees. The calculator will compute its supplementary angle (θ₂).

5. Frequently Asked Questions (FAQ)

Q1: What are supplementary angles?
A: Two angles are supplementary when their measures add up to 180 degrees.

Q2: Can supplementary angles be adjacent?
A: Yes, when they share a common vertex and side, forming a straight line.

Q3: What's the difference between complementary and supplementary angles?
A: Complementary angles add to 90°, while supplementary angles add to 180°.

Q4: Can three angles be supplementary?
A: Yes, if their sum is 180°, but typically we refer to pairs of angles as supplementary.

Q5: How is this used in real-world applications?
A: Used in construction, engineering, and design where angle relationships are important.