One angle measures 54 more degrees than 3 times another angle. The angles are supplementary. Which system of equations that can be used to determine x and y, measures of the angles?

Let x be the first angle and y be the second angle.

From the problem, we know that the first angle measures 54 more degrees than 3 times the second angle. So, we have the equation:
x = 3y + 54

We also know that the angles are supplementary, meaning they add up to 180 degrees. So, we have the equation:
x + y = 180

Therefore, the system of equations that can be used to determine x and y is:
x = 3y + 54
x + y = 180