Answer:
We have parallel lines intersected by a transversal.
Corresponding angles are congruent:
5q + 3 = 3q + 11
2q = 8, so q = 4
Alternate interior angles are congruent:
3r - 4 = 6r - 19
3r = 15, so r = 5
Consecutive interior angles are supplementary:
4s + s + 90 = 180
5s = 90, so s = 18
Supplementary angles:
2t + 20 = 4t + 10
2t = 10, so t = 5