some examples of angular Bisectors of a triangle
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***********Triangle Angle bisector theorem examples **************
Triangle Angle Bisector Theorem
- The angles ∠4 and ∠1 are corresponding angles.
- So, ∠4≅∠1 .
- Since ¯AD is a angle bisector of the angle ∠CAB, ∠1≅∠2 .
- By the Alternate Interior Angle Theorem , ∠2≅∠3 .
- Therefore, by transitive property, ∠4≅∠3 .
- Since the angles ∠3 and ∠4 are congruent , the triangle ΔABE is an isosceles triangle with AE=AB .
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