Two angles are supplementary. one angle is 5 degrees more than 6 times the other. find the measure of each angle

Let x and y be the two angles;
We have the equation: x + y = 180 and x = 5 + 6y;
Then, 5 + 7y = 180;
Finally, 7y = 175;
y = 25 degrees;
x = 180 - 25;
x = 155 degrees;