Answer:
x=27
Step-by-step explanation:
We know that the vertical opposite angles are equal when two lines intersect each other at a point.
So two angles are equal. We equate the angles and solve for x
[tex]4x+7=5(x-4)[/tex]
To solve for x we multiply 5 inside the parenthesis
[tex]4x+7=5x-20[/tex]
Subtract 4x from both sides
[tex]7=x-20[/tex]
Now add 20 on both sides
[tex]27=x[/tex]
The value of x is 27
