Question

Complete the two column proof

Answer 1

1. angles 2 and 5 are supplementary, reason : it's given
2. 3 and 2 are congruent reason: they are vertical
3. 3 and 5 are supplementary reason : substitution prop. (i think so)
4. I don't know this one but are their any options?

Answer 2

Answer with Step-by-step explanation:

We are given that

Angle 2 and angle 5 are supplementary.

We have to prove that l is parallel to m.

Step 1:
`\angle 2+\angle 5=180^(\circ)`

Reason:By definition of supplementary angles.]

Step 2:
`\angle 2\cong \angle 3`

Reason:Vertical angle theorem.

Step 3:
`\angle 3+\angl 5=180^(\circ)`

Reason : substitute property

Step 4:angle 3 and angle 5 are supplementary.

Reason: By definition of supplementary angles.

Step 5:
`l\parallel m`

Reason:Converse of same side interior angles theorem.