Question 1150104
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 ∠7 ≅ ∠5     Vertical angles are congruent
 ∠1 ≅ ∠3     Vertical angles are congruent
 ∠3 ≅ ∠5     Alternate interior angles formed by parallel lines are congruent  
 ∠1 ≅ ∠5     Transitive property
 ∠1 ≅ ∠7     Transitive property

Done, probably could be done in fewer steps