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.