Question

B

Answer 1

This is gibberish; please be more careful how the questions look before posting.  Anyway, I'll guess it says

Given OB bisects ∠AOC  and OC bisects ∠BOD prove m∠AOB = m∠COD

Proof:

Statements      Reasons

OB bisects ∠AOC  Given

m∠AOB = m∠BOC = (1/2) m∠AOC   Definition of angle bisector

OC bisects ∠BOD  Given

m∠BOC = m∠COD = (1/2) m∠BOD   Definition of angle bisector

m∠AOB = m∠COD                  transitivity of equality