Since the angles are congruent due to the Alternate Exterior Angles Conjecture, so 5x = 4x +12. When you solve, 5-4 is 1, so 1x = 12, therefore, x = 12.
Since they're alternate exterior angles, 5x will equal 4x+12 so we will write it as 5x=4x+12.
Then we'll solve for x by subtracting 4x from both sides of the equation to get 1x=12. Then we divide both sides by 1 to get x=12. So 12 is the value for x.
To verify use 12 for x in both equations and see if you get the same answer. Rate and Thanks!