Question

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

Answer 1

5

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