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 is also known as the triangle sum theorem. The sum of all the exterior angles of a triangle is 360°. In geometry, the triangle sum theorem has varied applications as it gives important results while solving problems involving triangles and other polygons.
A triangle is the smallest polygon with three sides and three interior angles. The exterior angle of a triangle equals the sum of the opposite two interior angles, and the sum of all three interior angles of a triangle equals 180°. The measure of an exterior angle in a triangle is equal to the sum of its two opposite non-adjacent interior angles.
To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by the angle of 180°. The exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. The sum of the exterior angle and the adjacent interior angle that is not opposite is equal to 180º.
📹 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 …
📹 Angles of Triangle: Sum of Interior Angles and Exterior Angle Theorem by @MathTeacherGon
Angles of Triangle: Sum of Interior Angles and Exterior Angle Theorem by @MathTeacherGon Follow me on my social media …
Add comment