The triangle angle sum theorem is a mathematical formula that can be used to find the missing exterior angle of a triangle. It states that an exterior angle of a triangle is equal to the sum of its opposite interior angles. Every triangle has six exterior angles, with two at each vertex. The sum of these angles is always equal to 360°, and depending on the type of triangle, the formula can be applied.
The exterior angle of a triangle is formed when the sides of the triangle are extended. The formula for the exterior angle of any triangle can be given as: Exterior angle = Sum of opposite interior angles. This formula can be used when the corresponding interior angle is given.
Examples using the exterior angle theorem include finding the values of x and y in a triangle. 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. The measure of any exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles in the triangle.
In summary, the triangle angle sum theorem is a useful tool for finding missing exterior angles in a triangle. By identifying the measures of the two interior angles opposite the exterior angle in question and adding them, the formula can be used to find the missing exterior angle of a triangle.
📹 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 …
📹 How to find the exterior angle of a triangle / Exterior angle of a triangle theorem
This is a step by step video tutorial on how to find the exterior angle of a triangle / Exterior angle of a triangle theorem .
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