PROVE THAT = two lines perpendicular to the same line are parallel to each other
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Yes, it proves that the two straight lines are parallel to each other. This can be shown by a simple example.
The black line can be considered to be the transverse cutting the two perpendicular lines. Since,
the corresponding angles are equal (90 degrees),
the interior alternate angles are equal (90 degrees), and
the sum of the co-interior angles is 180 degrees (90 degrees+90 degrees=180 degrees)
The lines are going to be parallel to each other.
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