Answer:
Let's call the measure of the first angle "x". Then, the equation can be written as:
x = 3y - 8
Since the angles are supplementary, their measures add up to 180 degrees, so:
x + y = 180
We can substitute the first equation into the second equation to solve for y:
3y - 8 + y = 180
4y = 188
y = 47
Now that we know the measure of y, we can substitute it back into the first equation to find x:
x = 3(47) - 8 = 133
So the measure of the larger angle is 133 degrees.