Question

If two lines are perpendicular to the same line then prove that they are parallel to each other

Answer 1

If a transversal cuts two different lines and if the sum of the corresponding angles is equal to 180 degrees
Then,
the two given lines are parallel to each other
and here,
both the lines are perpendicular to the transversal
So,
the sum of angles made by them on the transversal is 180 degrees
Hence,both the given lines are parallel to each other.

Answer 2

here we know that when two lines are prependicular on same line then one angleis 90 degree and second is also 90 and we know that whwn the sum of co interor angle is 180 then they are between two parallel lines
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