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