I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.
Answer:
n=31°
Explanation:
If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.
We can see that angles 2 and 3 form a right angle, or:

We are also given that:


Substituting (get rid of the units):

Joining like terms:

Adding 3:

Solving:

n=31°