Exterior Angle Of A Triangle Formula
The angle between the extended side and the other side is the exterior angle. The exterior angle d equals the angles a plus b.
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The exterior angle d is greater than angle a or angle b.
Exterior angle of a triangle formula. Exterior angles of a triangle triangle exterior angle theorem. Although only one exterior angle is illustrated above this theorem is true for any of the three exterior angles. In the figure above drag the orange dots on any vertex to reshape the triangle.
M d m a m b. An exterior angle is formed by extending one of the sides of the triangle. See exterior angles of a polygon.
For more on this see triangle external angle theorem. The exterior angle at b is always equal to the opposite interior angles at a and c. Every triangle has six exterior angles two at each vertex are equal in measure.
In the picture below the angles abc bca and cab are the three interior angles of the triangle. The exterior angle theorem tells us that the measure of angle d is equal to the sum of angles a and b. 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.
In the picture angle acd is an exterior angle. Think back to our common fact that a straight line is equal. That s why α β γ 180.
An exterior angle of a triangle is equal to the sum of the opposite interior angles. An exterior angle of a triangle is equal to the sum of the opposite interior angles.
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