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8.4: Angle Bisectors
https://math.libretexts.org/Bookshelves/Geometry/Euclidean_Plane_and_its_Relatives_(Petrunin)/08%3A_Triangle_Geometry/8.04%3A_Angle_Bisectors
If $\measuredangle ABA' = \pi$ ; that is, if $B$ lies between $A$ and $A'$ , then the bisector of $\angle ABC$ is the external bisector of $\angle A'BC$ and the other way around. The bisecto...If $\measuredangle ABA' = \pi$ ; that is, if $B$ lies between $A$ and $A'$ , then the bisector of $\angle ABC$ is the external bisector of $\angle A'BC$ and the other way around. The bisectors of $\angle ABC$ , $\angle BCA$ , and $\angle CAB$ of a nondegenerate triangle $ABC$ are called bisectors of the triangle $ABC$ at vertexes $A, B$ , and $C$ respectively.

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