Given: g ∥ h and ∠2 ≅ ∠3 Prove: e ∥ f Statements Reasons 1. g || h 1. given 2. ∠1 ≅ ∠2 2. corresponding angles theorme 3. ∠2 ≅ ∠3 3. given 4. ∠1 ≅ ∠3 4. transitive property 5. e…

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asked Jun 28, 2019 203k views

2 Answers

Macha · Answer 1 · 2019-07-04T12:59:02+0000

Answer: Option 'D' is correct.

Explanation:

Since we have given that

Given: g ∥ h and ∠2 ≅ ∠3

Statements Reasons

1. g || h 1. given

2. ∠1 ≅ ∠2 2.corresponding angles theorem

3. ∠2 ≅ ∠3 3. given

4. ∠1 ≅ ∠3 4. transitive property

5. e || f 5. Converse alternate interior angles.

As we know that if alternate angles are equal then two lines would be parallel using converse alternate interior angles.

Hence, Option 'D' is correct.