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Which diagram shows lines that must be parallel lines cut by a transversal?

Which diagram shows lines that must be parallel lines cut by a transversal?-example-1
Which diagram shows lines that must be parallel lines cut by a transversal?-example-1
Which diagram shows lines that must be parallel lines cut by a transversal?-example-2
Which diagram shows lines that must be parallel lines cut by a transversal?-example-3
Which diagram shows lines that must be parallel lines cut by a transversal?-example-4

1 Answer

6 votes

The correct answer is:

The fourth diagram.

Step-by-step explanation:

The fourth diagram has two same-side interior angles that are supplementary (add to 180°). The conerse of the same-side interior angle theorem states that if two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.

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