How is the triangle exterior angle theorem related to the triangle angle sum theorem?
Keeping this in view, what is the triangle exterior angle theorem?
The exterior angle theorem is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. This is a fundamental result in absolute geometry because its proof does not depend upon the parallel postulate.
Secondly, what is the sum of the 3 exterior angles of a triangle? An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem. If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.
Just so, what is the relationship between exterior and interior angle of a triangle?
The angles on the inside are called Interior angles. The sum of the interior angles of a triangle is always 180 degrees. The exterior angle is the angle between any side of a shape, and a line extended from the next side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.
What is the formula for exterior angle theorem?
Definition & Formula. The exterior angle theorem states that the exterior angle formed when you extend the side of a triangle is equal to the sum of its non-adjacent angles. Remember, our non-adjacent angles are those that don't touch the angle we are working with.