S
(19x-2)2
V
T
(14x + 17)*
U

Answer:
5
Step-by-step explanation:
The base angles of an isosceles trapezoid are congruent, so angles VUT and VTU are congruent, meaning that angle VUT measures (14x+17) degrees.
So, by the same-side interior angles theorem,
14x+17+19x-2=180
33x+15=180
33x=165
x=5