The complete proof of the theorem is
Statements Reasons
1. <u>p||q </u> 1. Given
2. ∠1≅∠3 2. <u>Alternate interior angles theorem</u>
3. <u>∠1≅∠3</u> 3. Definition of congruent angles
4. <u>∠3 + ∠2 ≅ 180° </u> 4. Definition of linear pair
5. m∠3 + m∠2 = 180° 5. <u>Linear pair theorem</u>
6. <u>m∠1 + m∠2 = 180°</u> 6. Substitution prop. of equality
7. ∠1 and ∠2 are supplementary 7. <u>Consecutive interior angles theorem</u>
<h3>Proof of Angle theorems</h3>
From the question, we are to complete the given proof
The proof is completed as shown below
Statements Reasons
1. <u>p||q </u> 1. Given
2. ∠1≅∠3 2. <u>Alternate interior angles theorem</u>
3. <u>∠1≅∠3</u> 3. Definition of congruent angles
4. <u>∠3 + ∠2 ≅ 180° </u> 4. Definition of linear pair
5. m∠3 + m∠2 = 180° 5. <u>Linear pair theorem</u>
6. <u>m∠1 + m∠2 = 180°</u> 6. Substitution prop. of equality
7. ∠1 and ∠2 are supplementary 7. <u>Consecutive interior angles theorem</u>
Learn more on Proof of angle theorems here: brainly.com/question/17400232
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