find the values of the variable of the trapezoid

x degrees
y degrees
50 degrees

make sure that the answer is y = 50 degrees x = 130 degrees

show work

The sum of the angles of a trapezoid is 360 degrees.

Therefore, x + y + 50 = 360
Solving for x, we get x = 360 - 50 - y
Substituting y = 50, we get x = 360 - 50 - 50 = 260
Therefore, x = 260 degrees and y = 50 degrees.