It seems like there is missing information in this problem. In order to solve for x and make the line PT parallel to line CW, we would need to know the angles or have some information about their relationship.
Parallel lines have the same slope if we are tackling this problem from a perspective of linear equations. And if we consider geometry, corresponding angles between parallel lines are equal. But none of such crucial information is provided in this problem.
For instance, if we are given an angle or if it’s established that line PT and line CW are already parallel (and correlated values of x are provided), then we could potentially set up an equation to solve for x.
As it stands with the information provided, we cannot solve for x as we don't have enough data to calculate which value of x would make lines PT and CW parallel. We would need additional information about the specific angles, or a relationship between them to accurately determine the solution.
So currently, we can conclude that there is insufficient information to solve this problem.