Question

Two parallel and non-coincident lines intersect at at what points​

Answer 1

Answer:

they dosen't intersect each other

Answer 2

We say that a pair of lines indicated a, b. The lines are perpendicular to them c, d.

1. Will move one of the parallel lines (c) so as to intersect the point (A) of intersection of a, d and call it c'

2. Then γ=(90−A) (due Right Angled triangle composed of straight a, b, c.

lines A', d). Consequently, B

′

=A. On the other hand B

′

=B, since с and c' are parallel.

& β'=90−γ

and hence α = β.