The measure of one angle is 15 less than half the measurement of its supplement.

It is given in the question that

The measure of one angle is 15 less than half the measurement of its supplement.

Let the measurement of supplement angle is x degree.

So the measurement of the other angle is

And the sum of the measurement of supplementary angles is 180.

Multiplying both sides by 2

So one angle is of measurement 130 degree and the other angle is of  measurement 50 degree.

could you provide figure.