Answer:
x=16
y=10
Explanation:
(8x-14) + (5y+16) =180, because together they make a straight line.
(5x+34) = (8x-14), because they are alternate exterior angles.
Solve for x:
48=3x
x=16
Let's plug that into the first equation, then solve for y.
(8(16)-14) + (5y+16) =180
128-14+5y+16=180
130+5y=180
5y=50
y=10