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1. ∠1 and ∠2 are a linear pair                          1. Given

2. ∠1 and ∠2 are supplementary                      2. Linear Pair Postulate

3. m∠1 + m∠2 = 180°                                    3. Definition of Supplementary Angles

4. ∠1 and ∠3 are vertical angles                      4. Given

5. ∠1 ≅ ∠3                                                     5. Vertical angles are congruent.

6. m∠1 = m∠3                                               6. Congruent angles have equal measure.

7. m∠3 + m∠2 = 180º                                    7. Substitution into step 3.

8. ∴∠2 and ∠3 are supplementary                    8. Definition of Supplementary Angles

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Congruent Angles Definition. The definition of congruent angles is two or more angles with equal measures in degrees or radians. Congruent angles need not face the same way or be constructed using the same figures

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