Question

Please help me, the attachment is below. (If you don't know the answer to the question please don't answer, thank you.)

Answer 1

See Below.

Explanation:

Paragraph Proof:

We are given that ∠1 ≅ ∠4. ∠1 and ∠4 are alternate exterior angles. Since they are congruent, by the Alternate Exterior Angles Converse, the two lines being cut by the transversal must be parallel. Then by the Alternate Interior Angles Theorem, ∠3 ≅ ∠2.

2-Column Proof

Statements Reasons:

1)
`\angle 1\cong \angle 4` Given

2)
`\text{The two lines are parallel}` Alternate Exterior Angles Converse

3)
`\angle 3\cong \angle 2` Alternate Interior Angles Theorem

I would write a flowchart as well, but unfortunately, I never learned it that way.