Question

Find the value of x and y in parallelogram WXYZ
x = 1, y = 1
x = 6, y = 8
x = 13, y = 7
x = 15, y = 6

Answer 1

Those are the 3 possible choices listed?

Answer 2

Notice that WY and XZ intersect at a certain point.

This intersection caused WY to be split into two equal halves, and XZ to be also split into two equal halves.

In short, 8 and 2y - 6 are the same.
Similarly, 6 and x - 7 are the same.

Thus, we have:
8 = 2y - 6
2y = 8 + 6
2y = 14
y = 14 / 2
y = 7

6 = x - 7
x = 6 + 7
x = 13

Hence, the answer is x = 13 and y = 7.