1. What is a Supplementary Angle?

A supplementary angle is one of two angles that add up to 180 degrees. When two angles are supplementary, they form a straight line when placed adjacent to each other.

2. How Does the Calculator Work?

The calculator uses the supplementary angle formula:

Where:

• Given Angle — Any angle between 0° and 180°
• Supplementary Angle — The angle that completes the given angle to 180°

Explanation: The formula simply subtracts the given angle from 180 degrees to find its supplementary angle.

3. Importance of Supplementary Angles

Details: Supplementary angles are fundamental in geometry, used in various proofs, constructions, and real-world applications like architecture and engineering where straight lines and 180-degree relationships are common.

4. Using the Calculator

Tips: Enter any angle between 0° and 180° in the input field. The calculator will compute the supplementary angle. Values must be valid numeric inputs within the specified range.

5. Frequently Asked Questions (FAQ)

Q1: Can an angle have more than one supplementary angle?
A: No, each angle has exactly one supplementary angle that, when added to it, equals 180 degrees.

Q2: What is the supplementary angle of 0 degrees?
A: The supplementary angle of 0° is 180° (0° + 180° = 180°).

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

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

Q5: Can obtuse angles have supplementary angles?
A: Yes, all angles between 0° and 180° have supplementary angles. The supplementary of an obtuse angle (>90°) will be acute (<90°).