Suppose a line intersects side PQ of an omega triangle PQ(Omega) but does not pass through a vertex. Let R be the point of intersection. We can find the limiting parallel R(Omega). Show that a line through R must intersect either P(Omega) or Q(Omega). Solution Let theta be the angle between the line and PQ If line does not pass through any of these points P or Q ,theta should be nagative or positive base on your labeling If theta is not equal to zero that means the line shoud pass through P(Omega) or Q(Omega) hence prooved.