Question

A horizontal line has points D, B, C. A line extends vertically from point B to point A. Given that Ray B A bisects ∠DBC, which statement must be true? A. m∠ABD = m∠ABC B.AB ≅ BC C. B is the midpoint of DC.D.m∠DBC = 90°

Answer 1

Statement A must be true: m∠ABD = m∠ABC

Step-by-step explanation:

Given that Ray B A bisects ∠DBC, we can determine the following:

• m∠ABD = m∠ABC (By definition of angle bisector)
• A line bisects an angle when it divides that angle into two congruent angles.

Therefore, statement A is true: m∠ABD = m∠ABC