Question

Your buddy constructs an angle bisector BD−→− for ∠ABC. She says that m∡ABD and m∡DBC formed by the angle bisector are congruent. Do you think that is always, sometimes or never true for angle bisectors?

Answer 1

Always true

Explanation:

The definition of an interior or internal angle bisector is the the dividing line segment that splits the angle into two equal angles (parts)

Therefore, given that the segment BD is the bisector of ∠ABC, then the formed angles m∡ABD and m∡DBC are, by definition of bisected ∠ABC, always congruent