Answer:
Step-by-step explanation:
In a parallelogram, the opposite sides are equal. It means that
UV = TW
UT = VW
Therefore,
10a - 6 = 8a + 33
10a - 8a = 33 + 6
2a = 39
a = 39/2 = 19.5
Also, in a parallelogram, the consecutive angles are supplementary. This means that the sum of the angles is 180 degrees. It means that
2b + 41 + 7b - 59 = 180 degrees
7b + 2b + 41 - 59 = 180
9b - 18 = 180
9b = 180 + 18
9b = 198
b = 198/9 = 22
Therefore, TUVW is a parallelogram
