Exterior Angle of a Triangle Calculator
Quickly find the exterior angle of a triangle by entering two interior angles. Visualize the concept and copy results easily.
Enter Interior Angles
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.
Result:
Visualization
Visual representation of the exterior angle. The exterior angle is formed by extending one side of the triangle.
Understanding Exterior Angles
In geometry, an exterior angle of a triangle is the angle between one side of a triangle and the extension of an adjacent side. For each vertex of a triangle, there are two exterior angles which are vertically opposite and hence equal.
Key Property: The exterior angle of a triangle is equal to the sum of the two opposite interior angles. This calculator uses this property to quickly determine the exterior angle.
Formula: If the two non-adjacent interior angles are \( \angle A \) and \( \angle B \), then the exterior angle \( \angle E \) is given by:
Exterior Angle (\( \angle E \)) = \( \angle A + \angle B \)
This tool is helpful for students, educators, and anyone needing to quickly calculate exterior angles in geometry problems or real-world applications.