Answer: x = 10
Explanation:
In a parallelogram, the opposite sides are equal and parallel. The opposite angles are equal while the consecutive angles are supplementary. This means that the sum of the consecutive angles is 180 degrees.
This means that angle + angle B = 180 degrees. Therefore
8x + 2 + 9x + 8 = 180
17x + 10 = 180
Subtracting 10 from the left hand side and the right hand side of the equation, it becomes
17x + 10 - 10 = 180 - 10 = 170
Dividing the left hand side and the right hand side of the equation by 17, it becomes
17x/17 = 170/17
x = 10