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

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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