Q. 84.0( 4 Votes )

Two straight lines are respectively perpendicular to two parallel lines. Show that both these straight lines are parallel to each other.

Answer :


Given:


Two straight lines are respectively perpendicular to two parallel lines


Theory:


If a transverse intersecting 2 lines and corresponding angles forms are thus equal then 2 lines are parallel


As both lines are perpendicular to parallel lines


The angle made by them on parallel lines will be 90°


Then taking one parallel line to be transverse


their corresponding will be equal


If both lines having a transverse and having corresponding angles to be equal


Then both lines are parallel.


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