BE bisects ∠DBC because it creates two congruent adjacent angles at point B, making it the angle bisector of ∠DBC. ;
Line segment BE bisects angle DBC as it creates two equal angles at point B, supported by the properties of isosceles triangles and parallel lines. By establishing congruency between angles formed by these properties, we arrive at the conclusion. Thus, BE is indeed the angle bisector of ∠DBC.
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