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.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)