An angle measures 47.2° less than the measure of its supplementary angle. What is the measure of each angle? on ixl

The measure of one angle 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":

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step-by-step explanation:

the two may have that, even a breakdown is probably offered