The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite(remote) interior angles of the triangle. Let us recall a few common properties about the angles of a triangle: A triangle has 3 internal angles which always sum up to 180 degrees.
Exterior angles are defined as the angles formed between the side of the polygon and the extended adjacent side of the polygon. 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.
Exterior Angle Theorem
Triangle Angles, External Angle Theorem, Proportions and Triangle Similarity – Int9
[Triangle Relationships] Day 4: Exterior Angle Theorem
Frequently Asked Questions
What is the relationship between same side exterior angles?
Lesson Summary Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.
Which best describes the exterior angle Inequality theorem?
Which best describes the exterior angle inequality theorem? ... The measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles.