Okay so I actually really need help this time (Just with solving for x).

Add up ALL of the angles = 360

9x-22 + 34 + 5x-7 +61 = 360 OK?

So would I add up 34 and 61 first to get 95 and then do

9x-22+5x-7+95 and subtract 95 from both sides so it's 9x-22+5x-7=265

I got x=21 and the angles in order are 193,98,159,and 193

Taking EP's answer from here

9x-22 + 34 + 5x-7 + 61 = 360 simplify

14x + 66 = 360 subtract 66 from both sides

14x = 294

x = 21

So

GK = 9(21) - 22 = 167°

HJ = 5(21) - 7 = 98°

HGJ = 51 + 167 + 34 = 252°

GKJ = 167 + 34 = 201°