Question

Help me plsif you write a wrong answer you will be reported by the app.

Answer 1

The complete proof of the theorem is

Statements                                     Reasons

1. p||q                                               1. Given

2. ∠1≅∠3                                         2. Alternate interior angles theorem

3. ∠1≅∠3                                        3. Definition of congruent angles

4. ∠3 + ∠2 ≅ 180°                          4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. Linear pair theorem

6. m∠1 + m∠2 = 180°                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. Consecutive interior angles theorem

Proof of Angle theorems

From the question, we are to complete the given proof

The proof is completed as shown below

Statements                                     Reasons

1. p||q                                               1. Given

2. ∠1≅∠3                                         2. Alternate interior angles theorem

3. ∠1≅∠3                                        3. Definition of congruent angles

4. ∠3 + ∠2 ≅ 180°                          4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. Linear pair theorem

6. m∠1 + m∠2 = 180°                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. Consecutive interior angles theorem

Learn more on Proof of angle theorems here: brainly.com/question/17400232

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