Question

If l and m is interesting line and l parallel to p and m is parallel to q show that p and also intersect

Answer 1

P II L Q II M
L X M

let's assume that P and Q don't intersect, so,

P II Q ------i

But P II L and Q II M ----------ii

Therefore, equating I and ii, we get that,
L II M

But we are given that L intersects M

Therefore, our assumption is contradicted,
Hence, P intersects Q.

hope it helps