Answer
$y = 50^{\circ}$
$x = 130^{\circ}$
Work Step by Step
The diagram is that of an isosceles trapezoid. The base angles of an isosceles trapezoid are congruent.
If one base angle is $50^{\circ}$, then the other base angle, $y$, is also $50^{\circ}$.
In an isosceles trapezoid, consecutive angles are supplementary, so we set up the equation with this information:
$x = 180 - 50$
Subtract to solve:
$x = 130^{\circ}$
