Question

What is the value of x?

Answer 1

$x+40=3x\\2x=40\\x=20$

Answer 2

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

$x + 40 = 3x$

Also, the angle between T and V is equal to the angle between S and W.

Returning to the question, we have to:

$x + 40 = 3x$

We must know the value of "x":

Subtracting 3x on both sides of the equation we have:

$x-3x + 40 = 0$

Subtracting 40 from both sides of the equation:

$-2x = -40$

Dividing between -2 on both sides of the equation:

$x = \frac {-40} {- 2}\\x = 20$

So, the value of x is 20

Answer:

$x = 20$