the measure of two supplementary angles have the sum of their measurements is equal to 180 degrees.

true

To find the measure of two supplementary angles, we need to know the sum of their measurements, which is always equal to 180 degrees.

If we let one angle be x degrees, the other angle is 180 degrees minus x (since they are supplementary).

So, we have the equation:
x + (180 - x) = 180

Simplifying this equation, we get:
x + 180 - x = 180
180 = 180

Since 180 is always equal to 180, this equation is always true. Therefore, the measure of any two supplementary angles will always have a sum of 180 degrees.