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Prove that two lines perpendicular to ...

Prove that two lines perpendicular to the same line are parallel to each other.

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Solution
Let lines `l` and `m` are perpendicular to `n`, then
`/_1=/_2=90^@`
See in the figure
Since, lines `l` and `m` cut by a transversal line `n` and the corresponding angles are equal, which shows that, line `l` is parallel to line `m`.
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