The angle right of 150,5 degrees, in the small triangle, would be 180-150.5=29.5. So now at the small triangle you will have 29.5+10.6+w=180 w=139.9.

The angle at the bottom right of the big triangle will be 139.9+y=180 y=40.1 .

So now you know two angles of the big triangle and it would be :

x+71.9+40.1=180 x=68