SOLUTION: How to prove same side interior angles theorem in 2 column proof . Given : r || s Prove : m<1+m<2=180

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Question 782974: How to prove same side interior angles theorem in 2 column proof .
Given : r || s
Prove : m<1+m<2=180
Answer by solver91311(24713) About Me  (Show Source):
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The interior angle adjacent to < 2 forms a linear pair with < 2, hence it is supplementary. But you know that this angle adjacent to < 2 is equal in measure to < 1 because opposite interior angles are congruent. So you can say that 2 plus its adjacent = 180 by definition of linear pair, then 2 plus 1 = 180 by substitution.

John

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