Question

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

Answer 1

Make them equal to each other.
x+40=3x-10
50=2x
x=25

Answer 2

The value of x is:

x=25

Explanation:

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.

`x+40=3x-10\\\\i.e.\\\\3x-x=40+10\\\\i.e.\\\\2x=50\\\\i.e.\\\\x=(50)/(2)\\\\i.e.\\\\x=25`