How To Calculate An Equilateral Triangle’S Exterior Angle?

An equilateral triangle has three equal sides and each angle measures up to 60 degrees. The sum of the exterior angles of a triangle is always equal to 360°. To find the exterior angle of an equilateral triangle, use the Exterior Angle Theorem. In an equilateral triangle, each interior angle is 60 ∘, and the sum of the interior and exterior angles at each vertex is 180 ∘. Each exterior angle is equal to 180 ∘ – 60 ∘ = 120 ∘.

The exterior angle d of a triangle equals the angles a plus b, which are greater than angle a and greater than angle b. For example, the exterior angle is 35° + 62° = 97°, where 97° > 35°.

To calculate the height, area, perimeter, circumcircle, and incircle radius of a regular triangle, use an equilateral triangle calculator. An equilateral triangle has all its sides with the same length and all its interior angles with the same measure. The exterior angle of an equilateral triangle is equal to the sum of its remote interior angles.

In two example problems, we can determine the measure of the exterior angle of an equilateral triangle by comparing the measures of the interior and exterior angles. The resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle. Thus, each exterior angle in an equilateral triangle is equal to 180 ∘ – 60 ∘ = 120 ∘.