Question

11. If I and m intersecting lines, I || p and m ll q, show that p and q 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∣∣Q−−−−−−(i)

But P∣∣L and Q∣∣M−−−−−−−−−−(ii)

Therefore, equating i and ii, we get that,

L∣∣M

But we are given that L intersects M

Therefore, our assumption is contradicted,

Hence, P intersects Q.