Measurement of angle five equals 5W + 8 and measurement of angle eight equals 3W + 6

There is definitely missing information from this question. Most likely though the missing information is that angle five and eight are opposites, and are thus equal.

So:

5W + 8 = 3W + 6

Solve with algebra ...

2W + 8 = 6

2W = 2

W = 1