The flow proof shows the statements that lead to the conclusion that a∥b

in the diagram. The reasons for each statement in the flow proof are missing. Identify the reasons for each of the 5 statements shown in the flow proof. In your response, label the steps a-e.
Given m<5=40, m<2=140
Prove a || b

m<5=40 ->
a. _ <5 and <2 are supplementary angles ->
m<2=140. -> c. _ a || b
b. _ <5 and <2 are same side interior angles -> e. _
d. _

1 answer

a. <5 and <2 are supplementary angles (Given)
b. <5 and <2 are same side interior angles (Given)
c. <2 = 140 (Given)
d. <5 = 40 (Given)
e. a || b (If two angles are supplementary and same side interior angles, then the lines containing those angles are parallel)