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

congruent-complement

#1

Copy and complete the proof of the first case of the congruent complements Theorem where two angles
are complementary to the same angle.
Given :arrow_forward: ∠1 and ∠2 are supplements
∠3 and ∠4 are supplements
∠1 ≅ ∠4
Prove :arrow_forward: ∠2 ≅ ∠3

STATEMENTS I REASONS
I

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

Answer:

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