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 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. 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. Scroll down the page for more examples and solutions. The following diagram shows that the sum of the two remote interior angles is equal to the exterior angles. 1 means that if AC BC A C B C in ABC A B C then A B A B. ![]() sum of the two interior angles that are not adjacent to it. If two sides of a triangle are equal the angles opposite these sides are equal. equilateral triangle has three equal internal angles, and three equal length sides. triangle ABC, we have ZA 30 and ZC 40 ZA + ZB + C 180 ( Angle sum property of triangle ) 30 + y + 40 180 y + 70 180 50 9 62. the side inequalities and angle inequalities in a triangle The most important fact about isosceles triangles is the following: Theorem 2.5.1 2.5.Hence, the measure of the other two angles of an isosceles triangle is 55. the properties of an isosceles triangle Let the measure of the unequal angle is 70 and the other two equal angles measures x then, as per the angle sum rule, 70 + x + x 180.exterior angles and remote interior angles of a triangle.Because the sum of a triangle's interior angles is equal to 180, the remaining two angles in an isosceles right triangle measure 45 (90 + 45 + 45 180). Videos, worksheets, and activities to help Geometry students. An isosceles right triangle is a triangle with 2 congruent sides and angles in which the non-congruent angle measures 90. A series of free, online High School Geometry Video Lessons.
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