The value of x and y are 42 and 138 degrees respectively
Since the sum pf adjacent angles is 180 degrees, hence:
x + 138 = 180
Subtract 138 from both sides
x + 138 - 138 = 180 - 138
x = 180 - 138
x = 42 degrees
Also x + y = 180 (angle on a straight line
42 + y = 180
y = 180 - 42
y = 138 degrees
Hence the value of x and y are 42 and 138 degrees respectively