Supplementary angles are two angles whose measures add to 180 degrees.
7 + 5 = 12, so the angles cannot possibly measure 7 deg and 5 deg, but their measures are in a 7 to 5 ratio.
If we multiply both 7 and 5 by the correct number, we will get the measures of the two angles that are supplementary and in a 7 to 5 ratio.
Let the number be x.
7x and 5x are also in a 7 to 5 ratio.
7x and 5x are the measures of two supplementary angles, so their sum is 180.
7x + 5x = 180
12x = 180
x = 15
The number we were looking for is 15.
7x = 7(15) = 105
5x = 5(15) = 75
Answer: The angles measure 105 deg and 75 deg.