Quick

complete the two-column the proof by writing the appropriate reason for each statement.

given: m∠1 = m∠3

prove: m∠eba = m∠cbd

reasons (one is used twice): angle addition postulate, commutative property of addition, substitution, transitive property



1. statement: m∠1 = m∠3

1. reason: given

2. statement: m∠eba = m∠2 + m∠3

2. reason:

3. statement: m∠eba = m∠2 + m∠1

3. reason:

4. statement: m∠eba = m∠1 + m∠2

4. reason:

5. statement: m∠1 + m∠2 = m∠cbd

5. reason:

6. statement: m∠eba = m∠cbd

6. reason: