Exterior Angle of a Triangle and its Property
Exterior Angle of a Triangle and its Property An exterior angle of a triangle is the angle formed outside the triangle. We can find the measure of an ext...
Exterior Angle of a Triangle and its Property An exterior angle of a triangle is the angle formed outside the triangle. We can find the measure of an ext...
An exterior angle of a triangle is the angle formed outside the triangle. We can find the measure of an exterior angle by adding the measures of the two adjacent interior angles of the triangle.
Property: The sum of the measures of the exterior angles of any triangle is always 180 degrees. This means that if you have a triangle with three exterior angles, the sum of their measures will be 180 degrees.
Example: Consider a triangle ABC with angles A, B, and C. If angle A = 40 degrees and angle B = 50 degrees, then angle C = 70 degrees. This means that the sum of the measures of the exterior angles of triangle ABC is 180 degrees, which confirms the property stated above.
Additional Notes:
Exterior angles can be measured using a compass and protractor, or by using a calculator to find the angles of the triangle.
The exterior angles of a triangle are always greater than the interior angles.
The exterior angles of a triangle can be used to find the area of the triangle