Exterior Angle of a Triangle
An angle that is part of a linear pair to an interior angle.
An exterior angle of a triangle is the angle between one side of the triangle and the extension of the adjacent side. In other words, it is the angle formed by any side of a triangle and the line extended from its adjacent side.
Properties:
1. The measure of an exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
2. The measure of an exterior angle is always greater than either of the measures of its adjacent interior angles.
Formula:
Let A, B, and C be the angles of the given triangle. Let ∠A be an exterior angle.
Then,
∠A = ∠B + ∠C
Example:
Suppose we have a triangle with angles of 50°, 60°, and 70°. To find the measure of the exterior angle at the vertex where the 70° angle is located, we can use the formula:
∠A = ∠B + ∠C
∠A = 50° + 60°
∠A = 110°
Therefore, the measure of the exterior angle at the vertex where the 70° angle is located is 110°.
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