Lines p. q, and r all lie in the same plane and intersect line tat the same angle. Which lines MUST be parallel to each other?

Explanation:

(all of them are parallel)

If this was a multiple choice question then yes, it is choice "only lines p, q, and r" are parallel.  Regardless of the angle, the three lines that intersect line t must be parallel to each other, but they cannot be parallel to the line they intersect. This means only lines p, q, and r must be parallel to each other.