This video will define the interior and exterior angles of a triangle and then state several theorems involving the interior and exterior angles of a triangle. How to define exterior angles and their remote interior angles and how to prove their properties Please note that all registered data will be deleted following the closure of this site. Thank you for using our service for many years. Since the angle sum in a triangle is also 180 degrees, the exterior angle must have a measure equal to the sum of the remaining angles, called the remote interior angles. Keisan English website () was closed on Wednesday, September 20, 2023. This exterior angle is supplementary with its adjacent, linear angle. If one side of a triangle is extended beyond the vertex, an exterior angle is formed. The isosceles triangle theorem in math states that in an isosceles triangle, the angles opposite to the equal sides are also equal in measurement. ![]() Scroll down the page for more examples and solutions. A triangle that has two sides of the same measure and the third side with a different measure is known as an isosceles triangle. The following diagram shows that the sum of the two remote interior angles is equal to the exterior angles. m 1 + m 2 + m 3 180 Here is one proof of the Triangle Sum Theorem. the side inequalities and angle inequalities in a triangle The Triangle Sum Theorem says that the three interior angles of any triangle add up to 180.the properties of an isosceles triangle.exterior angles and remote interior angles of a triangle This larger triangle has three 60° angles and is therefore equilateral The hypotenuse of either one of the 30-60-90 triangles is one of the sides of the equilateral triangle. ![]() ![]() Videos, worksheets, and activities to help Geometry students. An isosceles triangle therefore has both two equal sides and two equal angles. A series of free, online High School Geometry Video Lessons. This property is equivalent to two angles of the triangle being equal.
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