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
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PROOF |
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Statements | Reasons |
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1. ∠1 is comp. to ∠ 3 ∠ 2 is comp. to ∠ 3 | 1. ? |
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2. m ∠ 1 + m ∠ 3 = 90 m ∠ 2 + m ∠ 3 = 90 | 2. ? |
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3. m ∠ 1 + m ∠ 3 = m ∠ 2 + m ∠ 3 | 3. ? | |
4. m ∠ 1 = m ∠ 2 | 4. ? |
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5. ∠ 1 ≅ ∠ 2 | 5. ? |
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