A triangle has three exterior angles, and their sum is always equal to 360°. To find the exterior angle of a triangle, use various formulas depending on the other two. An exterior angle is created by extending any side of the triangle and is equal to the sum of the opposite interior angles. Every triangle has six exterior angles, two at each vertex. Angles 1 through 6 are considered exterior angles.
The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles. Remote interior angles or opposite interior angles are non-zero angles. The Exterior Angle Sum Theorem states that the exterior angles of any polygon will always add up to 360 ∘.
A triangle has three sides and three vertices, with two exterior angles formed at each vertice. The exterior angle of a triangle measures 125°, and one of the remote interior angles measures 35°. To find the exterior angle of a triangle, use the correct option D 6.
A triangle has six exterior angles, as each of the three sides can be extended on both sides, forming six such exterior angles. 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.
In summary, a triangle has three exterior angles, and their sum is always equal to 360°. These angles are useful in geometric proofs and identifying the right side of a 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 …
📹 Interior and Exterior Angles of a Triangle
The basic concept of Interior and Exterior angles of a Triangle!
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