Question

It didn't let me put the whole picture, so here are the words/word it cut out.

Parallel (first word at the top before lines)

Prove (before <1)

Parallel lines m and n are cut by the transversal line t.

Prove <1 and <4 are supplementary. Move options to the boxes to complete the proof.

Answer 1

The options to complete the proof are placed in the boxes of the attached drawing created with Microsoft Word

Explanation:

Please see attached drawing of the proof created with Microsoft Word

The two column proof can be presented as follows;

Statement
`{}` Reason

`\underset{m}{\leftrightarrow } \parallel \underset{n}{\leftrightarrow }`
`{}` Given

m∠3 + m∠4 = 180°
`{}` Linear pair postulate

∠1 ≅ ∠3
`{}` Corresponding Angle Theorem

m∠1 + m∠4 = 180°
`{}` Transitive Property

m∠1 and m∠4 are supplementary
`{}` Definition of supplementary angles