The exterior angle of a triangle is determined by the sum of its three sides, which can be calculated using various formulas. The exterior angle of a triangle is equal to the angles a plus b, which are greater than angle a and greater than angle b. For example, the exterior angle is 35° + b.
The interior and exterior angles of a triangle are defined as the angles that form a linear pair with their corresponding interior angles. The exterior angle theorem states that when a triangle’s side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle. This can be applied to the exterior angle of a triangle, where the third exterior angle must be (113^(circ)) since (140+107+113=360).
The sum of all three interior angles in a triangle is 360°, and 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 third exterior angle has interior angles of 40 and 20 degrees, so the sum of the measures of two exterior angles of a triangle is 225.
To find the measure of the third exterior angle, we need to know that the sum of all exterior angles is 360 ∘, which means that the measure of the third exterior angle is 105 ∘. The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the 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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