Answer:
m<H=30 degrees by the Triangle Sum Theorem, so <H=<V. <G=<U, they are right angles. If GH=UV, triangle FGH=triangle TUV by the ASA.
x=3 and y=8
Step-by-step explanation:
H equals 30 by 180-150=30 (getting 150 by adding 60 and 90)
I know this is not much of a answer, but I hope it helps a little.
http://www.somersetkey.com/ourpages/auto/2017/12/13/63309824/geo%20ch%205%20sec%204%20teach.pdf