Answer:
x = 14
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If ∠A and ∠B are vertical angles
Then 5x + 2 = 6x - 12
^ ( Note that we just created an equation that we can use to solve for x )
The rest comes down to basic algebra
5x + 2 = 6x - 12
step 1 subtract 5x from each side
5x - 5x cancels out
6x - 5x = x
we now have 2 = x - 12
step 2 add 12 to each side
- 12 + 12 cancels out
2 + 12 = 14
we're left with x = 14
