Answer:
x = 28, y = 23
Explanation:
in keeping with working only with the expressions which have the variable 'y'
the 3y angle forms a linear pair with the angle which is corresponding to the 5y-4 angle
therefore, we can say that 5y - 4 = 180 - 3y
solve for 'y': 5y - 4 = 180 - 3y
8y = 184
y = 23
Substitute to find measure of angle 5y-4: 5(23) - 4 = 111 degrees
Now we know that 2x + 13 has to equal 180 - 111 or 69 degrees
solve for 'x': 2x + 13 = 69
2x = 56
x = 28