Complete the two-column the proof by writing the appropriate reason for each statement.Given: m∠1 = m∠3Prove: m∠EBA = m∠CBDReasons (one is used twice): Angle Addition Postulate, Commutative Property of Addition, Substitution, Transitive PropertyAnswer:1. Statement: m∠1 = m∠31. Reason: Given2. Statement: m∠EBA = m∠2 + m∠32. Reason: ___________3. Statement: m∠EBA = m∠2 + m∠13. Reason: ___________4. Statement: m∠EBA = m∠1 + m∠24. Reason: ___________5. Statement: m∠1 + m∠2 = m∠CBD5. Reason: ___________6. Statement: m∠EBA = m∠CBD6. Reason: ___________

Answer:The required Prove is shown below.Step-by-step explanation:Consider the provided proof.The angle addition postulate states that if C is in the interior of AOB , thenm∠AOC+m∠COB=m∠AOBTransitive property of equality: If a = b and b = c, then a = c.Substitution property: If x = y, then one can replace x with y.Commutative property of addition: a + b = b + aNow use above property to prove m∠EBA = m∠CBD Statement:                                  Reason:m∠1 = m∠3                                  Givenm∠EBA = m∠2 + m∠3                Angle Addition Postulatem∠EBA = m∠2 + m∠1                Substitution Property of Equalm∠EBA = m∠1 + m∠2                 Commutative Property of Additionm∠1 + m∠2 = m∠CBD               Angle Addition Postulatem∠EBA = m∠CBD                     Transitive Property of EqualityHence, the required Prove is shown above.