In order to find the measure of angle W, take into account that lines p and q are parallel. Then, anlge W is congruent to angle x=152°. More specifically, angle W and x are vertical angles.
<em>Since there is no M in the transversal, I am going to find all the angles given in the transversal. If I have misunderstood your question, kindly post it in the comments. Thank you!</em>
Solution:
<u>We know that:</u>
x = 152°
y = 28°
<u>Explanation:</u>
w = x = 152° because of 'Vertically opposite angles'.
v = y = 28° because of 'Vertically opposite angles'.
v = u = 28° because of 'Alternate inner angles'.
w = t = 152° because of 'Alternate inner angles'.
s = t = 152° because of 'Vertically opposite angles'.
u = r = 28° because of 'Vertically opposite angles'.