Provide reasons for the proof. Given: Line "m" is parallel to line "n". Prove: ∠1 is supplementary to ∠3.

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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