Provide the missing statements and reasons.
Given: | ∠s1 and 3 are complementary ∠s2 and 3 are complementary |
Prove: | ∠1 ≅ ∠ 2 |
PROOF | |
Statements | Reasons |
1. ∠s1 and 3 are complementary; ∠s2 and 3 are complementary | 1. ? |
2. m∠1 + m∠3 = 90; m∠2 + m∠3 = 90 | 2. The sum of the measures of complementary ∠s is 90 |
(2) 3. m∠1 + m∠3 = m∠2 + m∠3 | 3. ? |
4. ? | 4. Subtraction Property of Equality |
(4) 5. ? | 5. If two ∠s are = in measure, they are ≅ |
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