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.

1. 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