The exterior angle of a triangle is the angle formed by one side and the extension of an adjacent side. There are three exterior angles in a triangle, and the sum of the exterior angles of a triangle is always equal to 360°. The exterior angle of a triangle is equal to the sum of its remote interior angles, which are the two interior angles in a triangle that are not adjacent.
The exterior angle of a triangle is calculated by dividing the sum of the measures of the two remote interior angles (x and y) of the triangle. This formula can be used to solve for x and y by identifying the measures of the two interior angles opposite the exterior angle in question.
In this geometry video tutorial, we learn how to use the exterior angle theorem for triangles and solve for x and y. We first identify the measures of the two interior angles opposite the exterior angle in question and then add the two interior angle measurements identified. The exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles (x and y).
In summary, the exterior angle of a triangle is determined by dividing the sum of the measures of the two remote interior angles (x and y) by the sum of the two non-adjacent interior angles. By applying the exterior angle theorem, we can find the unknown exterior angle of a triangle and prove that the sum of the exterior angles of a triangle is always equal to 360°.
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