Interior And Exterior Angles Of A Triangle

An exterior angle is equal to the sum of the non adjacent interior angles.

Interior and exterior angles of a triangle. If the equivalent angle is taken at each vertex the exterior angles always add to 360 in fact this is true for any convex polygon not just triangles. The remote angles are the two angles in a triangle that are not adjacent angles to a specific exterior angle. The exterior angles taken one at each vertex always sum up to 360.

In a triangle each exterior angle has two remote interior angles. Interior and exterior angles of a triangle displaying top 8 worksheets found for this concept. Let us see the proof of this statement.

A triangle s interior angles are hop hpo and pho. Let us now talk about the exterior and interior angles of the triangle. Every triangle has six exterior angles two at each vertex are equal in measure.

An exterior angle of a triangle is equal to the sum of the opposite interior angles. An interior angle is an angle inside the shape. The sum of the remote interior angles is equal to the non adjacent exterior angle.

In the figure above drag the triangle s vertices and see that this is so. Let s try two example problems. Some of the worksheets for this concept are relationship between exterior and remote interior angles 4 the exterior angle theorem exterior angle triangle sum of the interior angles of a triangle 4 angles in a triangle exterior angles of a triangle 1 directions angles of triangles.

The measure of an exterior angle our w of a triangle equals to the sum of the measures of the two remote interior angles our x and y of the triangle. For more on this see triangle external angle theorem. It s all about extending a side of the triangle.