Answer:
x = 13
Step-by-step explanation:
In a trapezoid, the sum of the adjacent angles is 180 degrees. So, we can write the following equation
(9x + 2) + (5x - 4) = 180
Now, we can solve the equation for x.
Add the like terms
9x + 2 + 5x - 4 = 180
(9x + 5x) + (2 - 4) = 180
14x - 2 = 180
Add 2 to both sides of the equation
14x - 2 + 2 = 180 + 2
14x = 182
Finally, divide both sides by 14
14x/14 = 182/14
x = 13
Therefore, the value of x is 13.