Given: g ∥ h and ∠2 ≅ ∠3 prove: e ∥ f statements reasons 1. g || h 1. given 2. ∠1 ≅ ∠2 2. corresponding angles theorm 3. ∠2 ≅ ∠3 3. given 4. ∠1 ≅ ∠3 4. transitive property 5. e || f 5. ? what is the missing reason in the proof? vertical angles theorem alternate exterior angles theorem converse corresponding angles theorem converse alternate interior angles theorem

as , you have given and it's reason.

e ║f

now the two lines can be parallel only when

1. alternate interior angles are equal

2. corresponding angles are equal

3.pair of interior angles which lie on same side of transversal form a linear pair.

4.alternate exterior   angles are equal

i will show you all these concept through diagram

coming to your question e is parallel to f.

of all the options given alternate exterior angle theorem is correct option.

72 is the answer to this problem