Answer:
The value of x is 9
Step-by-step explanation:
Note:
When two parallel lines are cut by a transversal, the alternate exterior angles are equal.
(-1 + 14x) and (12x + 17) are alternate exterior angles, therefore,
-1 + 14x = 12x + 17
Subtract 12x from both sides
-1 + 14x - 12x = 12x + 17 - 12x
-1 + 2x = 17
Add 1 to both sides
-1 + 2x + 1 = 17 + 1
2x = 18
Divide both sides by 2
x = 18/2 = 9