Question

In the diagram, line OB bisects angle AOC. Find m angle BOC. Explain your answer.​

Answer 1

m∠BOC = 53°

Explanation:

The definition of an angle bisector is that it divides an angle into two congruent angles. ∠AOC is divided by angle bisector OB into angles ∠AOB and ∠BOC, hence those two angles are congruent.

m∠AOB = m∠BOC = 53°