Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: m∠aob = m∠boc prove: $overrightarrow{ob}$ bisects ∠aoc.

Explanation:

The definition of an angle - bisector states that a ray is the angle - bisector of an angle if it divides the angle into two congruent angles. Since \(m\angle AOB=m\angle BOC\), by the definition of an angle - bisector, \(\overrightarrow{OB}\) bisects \(\angle AOC\).

Answer:

Definition of an angle - bisector