For this case we have by definition of angles between secant lines that:

Also, the angle between T and V is equal to the angle between S and W.
Returning to the question, we have to:

We must know the value of "x":
Subtracting 3x on both sides of the equation we have:

Subtracting 40 from both sides of the equation:

Dividing between -2 on both sides of the equation:

So, the value of x is 20
Answer:
