Answer:
The measure of one angle is  , and the measure of the other one is
, and the measure of the other one is 
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders 
We need to find the measure of two such angles whose difference is precisely  .
. 
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:

We can now solve this by simply combining term by term both equations, thus  cancelling the term in "y", and solving first for "x":

So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":
