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Provide reasons for the proof. Given: Line "m" is parallel to line "n". Prove: ∠1 is supplementary to ∠3. 
Picture: https://s.yimg.com/tr/i/8feaa7397dda48d68f6f1d32099d9bae_A.png
Statement: 
1. Line m is parallel to line n 
2. ∠1 ≅ ∠2 
3. m∠1 = m∠2 
4. ∠2 and ∠3 form a linear pair 
5. ∠2 is supplementary to ∠3 
6. m∠2 + m∠3 = 180* 
7. m∠1 + m∠3 =180* 
8. ∠1 is supplementary to ∠3 

Reasons: 
1. ? (my answer: Given) 
2. ? (my answer: congruent angles) 
3. ? (my answer: same side angle postulate) 
4. ? (my answer: angles equal to 180*) 
5. ? (my answer: def of supplementary) 
6. ? 
7. ? 
8. ? (my answer: Def of supplementary) 

Sadly IK that most of these will be wrong but I would really like to learn and better understand this as well add get a good grade. Can anyone help?

Guest Nov 17, 2017
 #1
avatar+90913 
+1

 

2. A transversal cutting parallel lines forms congruent corresponding angles 

3. Definition of congruent

4. A line standing on a line forms a linear pair

5. Linear Pair Theorem

6. Definition of Supplementary

7. Substitution of (3)  into (6)

8. Definition of Suppllementary

 

 

cool cool cool

CPhill  Nov 17, 2017
edited by CPhill  Nov 17, 2017

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