Given: g ∥ h and ∠2 ≅ ∠3Prove: e ∥ f Statements Reasons1. g || h 1. given2. ∠1 ≅ ∠2 2. corresponding angles theorme3. ∠2 ≅ ∠3 3. given4. ∠1 ≅ ∠3 4. transitive property5. e || f 5. ?What is the missing reason in the proof?A. vertical angles theoremB. alternate exterior angles theoremC. converse corresponding angles theoremD. converse alternate interior angles theorem
Accepted Solution
A:
Answer: Option 'D' is correct.Step-by-step explanation:Since we have given that Given: g ∥ h and ∠2 ≅ ∠3 Statements Reasons1. g || h 1. given2. ∠1 ≅ ∠2 2.corresponding angles theorem3. ∠2 ≅ ∠3 3. given4. ∠1 ≅ ∠3 4. transitive property5. 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.