Let the measure of the angles be x and y degrees. Recall, if two angles are supplementary, it means that their sum is 180 degrees. This means that
x + y = 180
One angle is 16° more than the other. Let x be the bigger angle. It means that
x = y + 16
Substituting x = y + 16 into x + y = 180, we have
y + 16 + y = 180
2y + 16 = 180
Subtracting 16 from both sides of the equation, we have
2y + 16 - 16 = 180 - 16
2y = 164
y = 164/2
y = 82
Substituting y = 82 into x = y + 16, we have
x = 82 + 16
x = 98
The measures of the angles are 82 and 98 degrees