Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
Parallel lines A and B
Required
Find x
For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles
And alternate interior angles are always equal
This means that
[tex]5x + 9 = 6x - 2[/tex]
Collect like terms
[tex]5x - 6x = -2 -9[/tex]
[tex]-x = -11[/tex]
Multiply both sides by -1
[tex]-1 * -x = -11 * -1[/tex]
[tex]x = 11[/tex]
