Find The Measure Of Exterior Angles Of A Triangle. Remember the Exterior Angles Theorem states that the exterior angle is congruent to the sum of the two non-adjacent angles. Lets try two example problems.
Properties of Exterior Angles of a Triangle An exterior angle of a triangle is equal to the sum of the two opposite interior angles thus an exterior angle is greater than any of its two opposite interior angles. X 50 92 sum of opposite interior angles exterior angle x 92 50 42. Therefore the sum of the interior angles is always 180 2 Exterior Angles An exterior angle of the triangle is the angle between one side of a triangle and the extension of an adjacent side.
BMMС as AM is the median by construction.
Consider triangles AMB and KMC. Remember that the two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles. An exterior angle is supplementary to its adjacent triangle. M angle LNM m angle LMN m angle MLN 180 m angle LNM 34 29 180 m angle LNM 63 180 m angle LNM 180 - 63 117 Problem 2 A triangles interior angles are angle HOP angle HPO and angle PHO.