1. What is an Exterior Angle?

An exterior angle of a triangle is formed when one side is extended outward. The exterior angle is supplementary to its adjacent interior angle, meaning they add up to 180 degrees.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• Interior Angle — The angle inside the triangle (0° to 180°)
• Exterior Angle — The angle formed outside the triangle

3. Importance of Exterior Angles

Details: Exterior angles are important in geometry for proving theorems and solving polygon problems. In a triangle, the exterior angle is equal to the sum of the two non-adjacent interior angles.

4. Using the Calculator

Tips: Enter any interior angle between 0 and 180 degrees. The calculator will compute the supplementary exterior angle.

5. Frequently Asked Questions (FAQ)

Q1: Can an exterior angle be negative?
A: No, exterior angles are always positive and between 0° and 180° for convex polygons.

Q2: What's the sum of exterior angles in a triangle?
A: The sum of all exterior angles (one at each vertex) is always 360° for any convex polygon.

Q3: How is this different from interior angles?
A: Interior angles are inside the polygon while exterior angles are formed outside by extending one side.

Q4: Does this work for other polygons?
A: The supplementary relationship holds for any polygon, but the sum of exterior angles is always 360°.

Q5: Can I calculate interior from exterior?
A: Yes, just rearrange the formula: Interior Angle = 180° - Exterior Angle.