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Solution

The theorem by which 2 and 7 are congruent is the…

Given : parallel lines

To find; theorem by <2 = <7

[tex]\begin{gathered} <2=<7 \\ by\text{ theorem} \\ The\text{ pairs of the exterior angles are equal} \end{gathered}[/tex]

Therefore the alternate exterior angle theorem is the correct choice

Hence the theorem by which 2 and 7 are congruent is the… Alternate exterior Angle theorem

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