Provide the missing statements and reasons.
Given: | ∠1 ≅ ∠ 2; ∠ 3 ≅ ∠ 4 ∠ s 2 and 3 are complementary |
Prove: | ∠s1 and 4 are complementary |
PROOF | |
Statements | Reasons |
1. ∠1 ≅ ∠ 2 and ∠ 3 ≅ ∠ 4 | 1. ? |
2. ? and ? | 2. If two ∠s are ≅, then their measures are equal |
3. ∠s 2 and 3 are complementary | 3. ? |
(3) 4. ? | 4. The sum of the measures of complementary ∠s is 90 |
(2), (4) 5. m∠1 + m∠4 = 90 | 5. ? |
6. ? | 6. If the sum of the measures of two angles is 90, then the angles are complementary |
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