What is the value of u, v, w, x, and y?

 The required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

Step-by-step explanation:  We are given to find the values of u, v, w, x and y from the figure shown.

We see that

the lines AB and CD are parallel to each other and PS is a transversal.

So, we must have

Now, we also have

Now, from the property of linear pair, we get

Since angles of measure w° and x° are alternate interior angles, so

Again, by using the property of linear pair, we get

Thus, the required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

step-by-step :