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Karolina [17]
3 years ago
13

BRAINLIEST!!

Mathematics
2 answers:
Kaylis [27]3 years ago
7 0
Converse of alt. interior angles theorum
kondor19780726 [428]3 years ago
3 0

Answer:

(D)

Step-by-step explanation:

Given: g is parallel to h and ∠2≅∠3.

To prove: e is parallel to f.

Proof:

Statements                                                           Reasons

1. g is parallel to h                                                 Given

2. ∠1≅∠2                                                         Corresponding angle theorem

3. ∠2≅∠3                                                               Given

4. Since, ∠1≅∠2 and ∠2≅∠3 ⇒∠1≅∠3             Transitive property

5. e is parallel to f      By the converse of alternate interior angles theorem

therefore, option D is correct.

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