find the values of the variable for each quadrilateral

x degrees
y degrees
50 degrees

show work

make sure that the answer is x = 130 degrees

and y = 80 degrees

Since the sum of the angles of a quadrilateral is 360 degrees, we can set up the equation:

x + y + 50 + 50 = 360

x + y = 260

x = 260 - y

If y = 80 degrees, then x = 260 - 80 = 180 degrees.

Therefore, x = 180 degrees and y = 80 degrees.