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Answer:

[tex]55^{\circ}[/tex]

Step-by-step explanation:

By the Vertical Angle theorem, [tex]\angle 3 = 55^{\circ}[/tex].

By the parallel line theorem, [tex]\angle 7 = \angle 3 = 55^{\circ}.[/tex]

So, [tex]\boxed{\angle 7 = 55^{\circ}}[/tex] and we're done!.

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