Given: g ∥ h and ∠2 ≅ ∠3
prove: e ∥ f

statements reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2. corresponding angles theorme
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. ?
what is the missing reason in the proof?

a. vertical angles theorem
b. alternate exterior angles theorem
c. converse corresponding angles theorem
d. converse alternate interior angles theorem

 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.

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

angle efh= angle egh