X + y = 180, So x = 180 - y

2 x = y - (8*6)

2 x = y - 48

So y = 2 x +48

So the two linear equations representing the two angles are -

x = 180 - y
y = 2 x + 48

Now we can substitute either value into each equation and find the value of x & y

So let's substitute the value of y in the first equation

x = 180 - ( 2x + 48)

x = 180 - 2x - 48

3 x = 132

 x = 44

Now find the value of y  substituting the value of x in the second equation

y = 2 x + 48

So y = 136