**Copy and complete the proof of the first case of the congruent complements Theorem where two angles**

**are complementary to the same angle.**

**Given ∠1 and ∠2 are supplements**

**∠3 and ∠4 are supplements**

**∠1 ≅ ∠4**

**Prove ∠2 ≅ ∠3**

STATEMENTS I REASONS

**I**

- ∠1 and ∠2 are complements I 1. ?

∠1 and ∠3 are complements I - m∠1 + m ∠ 2= 90° I 2. ?

m∠1 + m ∠ 2= 90° I - ? I 3. Transitive Property of Equality
- ? I 4. Subtraction Property of Equality
- ∠2 ≅ ∠3 I 5. ?

I

**Answer:**