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

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) (Show Source): You can put this solution on YOUR website!

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

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

RELATED QUESTIONS
4. Prove that the sum of the interior angles of a triganle equals 180 degrees without... (answered by venugopalramana)

Hello First of all in advance I thank you for the help you give me! Okay so here is... (answered by solver91311,MathLover1)

Please Help check work and help with Part B Use the diagram below *( I have diagram I... (answered by ikleyn)

Create a Two-Column and Paragraph Proof 1) Create a 2-column proof for the following... (answered by ikleyn)

I am working with Triangle Exterior Angle Theorems and was confused by this problem. I... (answered by ikleyn)

given: m<1=m<2, m<3=m<4 Prove: ray YS is perpendicular to line XZ prove in two column... (answered by solver91311)

given: is 8x-5=2x+1 prove: x=1 I dont understand how to find the reasons in a 2... (answered by chibisan)

State the postulate or theorem you would use, to prove that lines m and n are parallel. (answered by RAY100)

Prove: the sum of the interior angles of a triangle is 180 degrees, can you please write... (answered by Edwin McCravy)