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 can be used to find the exterior angle when its remote interior opposite angles are given.
A triangle has six exterior angles, with two at each vertex. The exterior angle d of a triangle equals the angles a plus b, which are greater than angle a and greater than angle b. An example of this is the exterior angle 35° + 62° = 97°, where 97° > 35°.
The exterior angle of a triangle is formed by any side of the triangle and the extension of its adjacent side. The formula for the exterior angle of any triangle can be given as Exterior angle = Sum of opposite interior angles.
To solve examples using the Exterior Angle Formula, first identify the measures of the two interior angles opposite the exterior angle in question. Then, add the two interior angle measurements identified.
According to the Exterior Angle Theorem, 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. If the side of a triangle is extended, the angle formed outside the triangle is the exterior angle.
In conclusion, the Exterior Angle Theorem is a mathematical formula that helps determine the exterior angle of a triangle.
📹 Exterior Angle Theorem For Triangles, Practice Problems – Geometry
It explains how to use it solve for x and y. It describes the difference between interior angles and exterior angles as well as the …
📹 Exterior Angle of a Triangle
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