Let the two angles be 'x' and 'y'.
Since, the angles are supplementary.
When the angles are supplementary, then the sum of the measures of the angles is 180 degrees.
(Equation 1)
Since, the measure of one angle exceeds three times the measure of the other angle by 32.
Substituting the value of 'x' in equation 1, we get
y =
So, the measure of the smaller angle is .