# Two lines are perpendicular to two parallel lines respectively. Show that these two lines are also parallel.

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Two lines are perpendicular to two parallel lines respectively. Show that these two lines are also parallel.

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∵ AB and CD are perpendicular to l and m

∴∠APQ = 90° and ∠CQM = 90°

∠APQ = ∠CQM = 90°

(Corresponding- angles)

∴ AB || CD