Answer
x=20
y=10
Work Step by Step
Using the known supplementary angles, we obtain:
$2x - y + 150 = 180 \\ 2x -y = 30$
And:
$ 2x + y + 130 = 180 \\ 2x + y = 50$
Substituting $y = 50 -2x$ into the first equation, we find:
$2x - 50 + 2x = 30 \\ 4x = 80 \\ x = 20$
Thus:
$ y = 50 - 2(20) = 10$
