1. What Are Supplemental Angles?

Two angles are called supplemental when their measures add up to 180 degrees. When placed adjacent to each other, they form a straight line. Each angle is the supplement of the other.

2. How Does the Calculator Work?

The calculator uses the supplemental angles formula:

Where:

• \( supp \) — Supplemental angle (degrees)
• \( θ \) — Given angle (degrees)

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

3. Importance of Supplemental Angles

Details: Understanding supplemental angles is fundamental in geometry, particularly when working with parallel lines, transversals, and various polygon angle calculations.

4. Using the Calculator

Tips: Enter any angle between 0° and 180° to calculate its supplement. The calculator will return the angle that, when added to your input, equals 180°.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between supplementary and complementary angles?
A: Supplementary angles add to 180° while complementary angles add to 90°.

Q2: Can an angle be its own supplement?
A: Yes, a 90° angle is its own supplement (90° + 90° = 180°).

Q3: Do supplementary angles have to be adjacent?
A: No, they only need to add to 180°. Adjacent supplementary angles form a straight line.

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

Q5: Are supplements of congruent angles congruent?
A: Yes, if two angles are congruent, their supplements will also be congruent.