The exterior angle theorem is a mathematical concept that states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles. These are the non-adjacent angles in a triangle. When one side of a triangle is extended, the exterior angle is greater than both the interior and opposite angles. This condition is satisfied by all six external angles of a triangle.
The exterior angle of a triangle is greater than either of the non-adjacent interior angles. The exterior angle () is larger than either remote interior angle ( and), and the exterior angle () is greater than both. By substitution, the exterior angle () is greater than either remote interior angle ( and).
In this geometry video tutorial, we learn about the exterior angle inequality theorem and its application in a two column proof situation. The exterior angle of a triangle is greater than either of the non-adjacent interior angles, and the exterior angle () is larger than either remote interior angle ( and).
In conclusion, the exterior angle inequality theorem is a fundamental mathematical concept that states that the measure of any exterior angle of a triangle is greater than either of the non-adjacent interior angles. This theorem can be applied to various situations, such as proving a two-column proof or proving a two-column inequality.
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This geometry video tutorial provides a basic introduction into the exterior angle inequality theorem. It explains how to use it in a …
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MathTeacherGon will demonstrate exterior angle theorem. Exterior Angle theorem stated that the measure of an exterior angle of …
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