p stands for "parallel lines never intersect" which is a true statement.
q stands for "supplementary angles add up to 180°" which is also a true statement, so its inverse (~q) is false, that is, the statement that supplementary angles do not add up to 180° is false.
Therefore p AND ~q is TRUE AND FALSE=FALSE which means:
The combined statement that parallel lines never intersect and supplementary angles do not add up to 180° is false.