The two vertical angles have equal measure so the first equation is:

140 = 3y+2x

The 140° angle and the x+y angle form a linear pair, so the second equation is:

140+x+y = 180

So we need to solve this system of equations:



I won't tell you the answer but if you solve the system by 
substitution, x comes out as a negative number and y is a 
positive number.

Edwin