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# Two-column proof geometry plz help me

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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:
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
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#1
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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

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

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