Exterior Angle Bisector

$\begin{figure}\begin{center}\BoxedEPSF{AngleBisector.epsf}\end{center}\end{figure}$

The exterior bisector of an Angle is the Line or Line Segment which cuts it into two equal Angles on the opposite ``side'' as the Angle.

$\begin{figure}\begin{center}\BoxedEPSF{ExteriorAngleBisTri.epsf}\end{center}\end{figure}$

For a Triangle, the exterior angle bisector bisects the Supplementary Angle at a given Vertex. It also divides the opposite side externally in the ratio of adjacent sides.

See also Angle Bisector, Isodynamic Points