Explanation:
a || b means that a is parallel with b.
a ≅ b means a is congruent with b. that mags that if you orient a and b alike and then put them on top of each other, there is nothing that stands out. they perfectly cover each other.
for angles alone this simply means they have the same size.
A true.
when a line (like in this case r) intersects parallel lines (like in this case p and q), then the angles at the intersections must be the same for p and q.
after all, parallel means that both lines emulate each other's behavior exactly - except for the physical location itself.
B in general is not true. it would only be true, if also r || s.
C true. for the same reasons as A.
D true. for the same reasons as A.