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Answer:

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Step-by-step explanation:

[tex]1. \: \: p || \: q \: \: \: \: \: \: ....(Given) \\ \\ 2. \: \: m \angle \: 1 = m \angle \: 3..(Vertical \:Angles \: Theorem) \\ \\ 3. \: \: m \angle \: 3 = m \angle \: 5..(Alternate \: Interior \: Angles \: Theorem) \\ \\ 4. \: \: \red{ \boxed{m \angle \: 1 = m \angle \: 5}}..(Substitution \: Property \: of \: Equlity) \\ \\[/tex]