Question

Given: g ∥ h and ∠2 ≅ ∠3

Answer 1

The answer is A vertical angles theorem.

Answer 2

Answer:  Option 'D' is correct.

Step-by-step 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.