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Prove that the straight lines perpendicular to the same straight line are parallel to one another.
To do:
We have to prove that the straight lines perpendicular to the same straight line are parallel to one another.
Solution:
Let $m \perp l$ and $n \perp l$.
From the figure,
$\angle 1 = 90^o$ and $\angle 2 = 90^o$
$\angle 1$ and $\angle 2$ are corresponding angles.
This implies,
$m \parallel n$.
Therefore, the two lines are parallel to each other.
Hence proved.
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