By using the Parallel Line Theorem you can determine that Angle B and H are equal. Then you need to solve for x.
8x - 34 = 5x + 2
8x - 5x = 2 + 34
3x = 36
x = 36/3
x = 12
Lastly, you substitute this x value into the expression in the H angle.
5x + 2
= 5(12) + 2
= 60 + 2
= 62°
Therefore, Angle H is 62°.