Complete the missing statements/reasons for the proof.Given:∠ABC is a right angle bisects...

Given:

∠ABC is a right angle

bisects ∠ABC

Prove:

m∠1 = 45°

PROOF

Statements

Reasons

1. ∠ABC is a right angle

1. _______________

2. m∠ABC = ______

2. Definition of a right angle

3. m∠1 + m∠2 = m∠ABC

3. _______________

4. m∠1 + m∠2 = ______

4. Substitution Property of Equality

5. bisects ∠ABC

5. _______________

6. m∠1 = m∠2

6. _______________

7. m∠1 + m∠1 = 90° or 2 · m∠1 = 90°

7. _______________

8. _______________

8. Division Property of Equality