Problem

Complete the formal proof of the theorem.If two angles are complementary to the same angle...

Complete the formal proof of the theorem.

If two angles are complementary to the same angle, then these angles are congruent.

Given:

∠1 is comp. to ∠ 3

∠ 2 is comp. to ∠ 3

Prove:

∠1 ≅ ∠ 2

 

PROOF

 

Statements

Reasons

 

1. ∠1 is comp. to ∠ 3

∠ 2 is comp. to ∠ 3

1. ?

 

2. m ∠ 1 + m ∠ 3 = 90

m ∠ 2 + m ∠ 3 = 90

2. ?

 

3. m ∠ 1 + m ∠ 3 = m ∠ 2 + m ∠ 3

3. ?

4. m ∠ 1 = m ∠ 2

4. ?

 

5. ∠ 1 ≅ ∠ 2

5. ?

 

Step-by-Step Solution

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