In ΔTUV,
T
V
‾
TV
is extended through point V to point W, m∠TUV =
(
3
x
−
9
)
∘
(3x−9)
∘
, m∠UVW =
(
7
x
−
13
)
∘
(7x−13)
∘
, and m∠VTU =
(
2
x
+
6
)
∘
(2x+6)
∘
. What is the value of x?