How would you define the triangle exterior angle theorem?

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. The theorem can be used to find the measure of an unknown angle in a triangle.

How do you prove the exterior angle theorem?

Starts here3:53Proof: The Exterior Angles Theorem – YouTubeYouTube

What is external angle bisector?

The exterior angle bisectors (Johnson 1929, p. 149), also called the external angle bisectors (Kimberling 1998, pp. 18-19), of a triangle. are the lines bisecting the angles formed by the sides of the triangles and their extensions, as illustrated above.

What is Angle bisector theorem in class 10 triangles?

The theorem states that the angle bisector of any angle in a triangle divides the side opposite to it such that the ratio in which the opposite side is divided is equal to the ratio of the other two sides which form the angle.

Can the exterior angle theorem prove the triangle sum theorem?

The Exterior Angle Theorem states that the sum of the remote interior angles is equal to the non-adjacent exterior angle. From the proof, you can see that this theorem is a combination of the Triangle Sum Theorem and the Linear Pair Postulate.

What does the angle bisector theorem state?

In some textbooks, it refers to the theorem which states that any point on an angle bisector is equidistant from the two sides of the angle. An angle bisector in a triangle divides the opposite side into two segments which are in the same proportion as the other two sides of the triangle.

What is exterior Angle Bisector Theorem?

External Angle Bisector Theorem The external angle bisector of a triangle divides the opposite side externally in the ratio of the sides containing the angle. This condition occurs usually in non-equilateral triangles.

What is exterior angle Inequality theorem?

The exterior angle inequality theorem states that the measure of any exterior angle of a triangle is greater than both of the non-adjacent interior angles.