Problem

Provide the missing statements and reasons.Given:∠1 ≅ ∠ 2; ∠ 3 ≅ ∠ 4∠ s 2 and 3 are comple...

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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Solutions For Problems in Chapter 1.6