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Question
proving lines are parallel
lines ( l ), ( m ), and ( n ) lie in a plane and are cut by a transversal, ( t ). ( angle 1 ) is supplementary to ( angle 2 ), and ( angle 2 ) is supplementary to ( angle 3 ).
which lines, if any, are parallel?
what justifies your answer?
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Lines \(m\) and \(n\) are parallel.
If two angles are supplementary to the same angle, then they are congruent; and if corresponding angles are congruent, then the lines cut by the transversal are parallel.