SOLUTION: Can you please show me how to write a two-coloumn proof for this: Given:<1 and <2 form a linear pair. <2 and <3 are supplementary. Prove:<1 is congruent to <3

Algebra ->  Geometry-proofs -> SOLUTION: Can you please show me how to write a two-coloumn proof for this: Given:<1 and <2 form a linear pair. <2 and <3 are supplementary. Prove:<1 is congruent to <3      Log On


   

Question 508445: Can you please show me how to write a two-coloumn proof for this:
Given:<1 and <2 form a linear pair.
<2 and <3 are supplementary.
Prove:<1 is congruent to <3
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
"Form a linear pair" is essentially the same as supplementary. Hence,

m1 + m2 = 180 --> m1 = 180 - m2
m2 + m3 = 180 --> m3 = 180 - m2

Hence m1 and m3 are congruent.

To write a two-column proof, simply write out each step in a table, and justify each one (i.e. why is it true?).