Question

prove that 2 lines perpendicular to the two parallel lines are parallel to each other

Answer 1

Answer:

Perpendicular transversal theorem states that if there are two parallel lines and another line is perpendicular to one of them, then it is also perpendicular to the other one.

Step-by-step explanation:

Answer 2

Answer:

It is given that two lines are respectively perpendicular to two parallel lines, therefore the one line is perpendicular to the other line, hence, they make a right angle with them.

Now, using the corresponding angle theorem , it proves that these lines are also parallel to each other.

Hence proved.