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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.

It didnt let me put the whole picture so here are the wordsword it cut out Parallel first word at the top before lines Prove before lt1 Parallel lines m and n a class=

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Answer:

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

Step-by-step explanation:

Please see attached drawing of the proof created with Microsoft Word

The two column proof can be  presented as follows;

Statement     [tex]{}[/tex]                                    Reason

 [tex]\underset{m}{\leftrightarrow } \parallel \underset{n}{\leftrightarrow }[/tex]        [tex]{}[/tex]                                        Given

m∠3 + m∠4 = 180°   [tex]{}[/tex]                         Linear pair postulate

∠1 ≅ ∠3     [tex]{}[/tex]                                        Corresponding Angle Theorem

m∠1 + m∠4 = 180°   [tex]{}[/tex]                          Transitive Property      

m∠1 and m∠4 are supplementary  [tex]{}[/tex] Definition of supplementary angles

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