The Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of its two opposite interior angles (remote interior angles). This formula is used to determine the sum of all the exterior angles of a triangle, which is equal to 360°. Every triangle has six exterior angles, with two at each vertex.
The exterior angle of a triangle is defined as the angle formed between one of its sides and its adjacent extended side. The sum of the exterior angles of a triangle is equal to 360 degrees. The exterior angle and the adjacent interior angle that is not opposite are equal to 180º.
The exterior angle property of triangles states that if m ∠ 1 and m ∠ 2 are the measures of the two interior angles, then the measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.
In simpler terms, as any angle of an equivalent triangle is 60′, the exterior angle of a triangle is equal to the sum of the opposite interior angles. This result depends upon Euclid’s theorem and can be applied to any angle of a triangle.
In summary, the Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of its two opposite interior angles. This formula can be applied to any angle of a triangle, and its application can be seen in various examples.
📹 Exterior Angle Theorem For Triangles, Practice Problems – Geometry
This geometry video tutorial provides a basic introduction into the exterior angle theorem for triangles. It explains how to use it …
📹 Angles of Triangle: Sum of Interior Angles and Exterior Angle Theorem by @MathTeacherGon
Angles of Triangle: Sum of Interior Angles and Exterior Angle Theorem by @MathTeacherGon Follow me on my social media …
Add comment