The exterior angle of a triangle is the angle formed between one side and the adjacent extended side of the triangle. There are three exterior angles in a triangle, and the sum of the exterior angles is always equal to 360°. The total degrees of all interior angles (the three angles inside the triangle) are always 180°. Every triangle has six exterior angles, two at each vertex.
The Exterior Angle Theorem states that if any side of a triangle is extended, then the exterior angle so formed would be equal to the sum of the opposite interior angles of a triangle. The exterior angle d of a triangle equals the angles a plus b, which are greater than angle a and greater than angle b. For example, the exterior angle is 35° + 62° = 97°, which is greater than 35°.
The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle. The sum of the exterior angles of a triangle and any polygon is 360 degrees. The exterior angles of a triangle, when measured at the vertices, always add up to 360 degrees. This rule applies for all convex polygons, meaning all exterior turns are added up to 360 degrees.
In this context, the exterior angle given is 110 degrees, and two remote interior angles measure 50 and (2x + 30). The exterior angles of a triangle are each equal to 180-interior angles, and the exterior angles, taken one at each vertex, always sum up to 360 degrees.
📹 Interior and Exterior Angles of a Triangle
The basic concept of Interior and Exterior angles 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 …
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