It might be 1/5??
because i'm assuming that the two golden parts on the overlapping triangle equal 1/2 of the overlapping triangle
because the golden parts overlap, the area is not counted twice so therefore there would be 5 halves and since the two golden triangles make one half of the rectangle(that's an assumption!!) so it would be one out of five halves are golden
once agaain i am very unsure of whether that logic is reasonable or not but i believe it's somewhat correct
i don't really know how much this would help since my geometry class doesn't talk about euclid at all, but if the lines did intersect, that would contradict the deefinition of parallel lines. they're always on the same plane because if they weren't and also didn't intersect, they would be skew lines.