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vovangra [49]
3 years ago
14

Given: g ∥ h and ∠2 ≅ ∠3

Mathematics
2 answers:
Arlecino [84]3 years ago
4 0
The answer is A vertical angles theorem.

White raven [17]3 years ago
3 0

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.

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\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}

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