Analyze the diagram below and complete the instructions that follow.
Find the value of x.

The value of x is:
x=25
As we know that if a transversal divides the two parallel lines then the corresponding exterior angles have the same measure.
Here after looking at the two angles which are marked we observe that they make a pair of corresponding exterior angles.
i.e. both are equal.
i.e.
[tex]x+40=3x-10\\\\i.e.\\\\3x-x=40+10\\\\i.e.\\\\2x=50\\\\i.e.\\\\x=\dfrac{50}{2}\\\\i.e.\\\\x=25[/tex]