An angle measures 108° less than the measure of its supplementary angle. What is the measure of each angle?

The angle asked for is 36 degrees, The supplementary angle is 144 degrees.

Step-by-step explanation:

First, set up the problem algebraically. I am using variable "" to represent the supplementary angle and the variable "" to represent the the angle asked for.

Since supplementary angles are always angles that add up to 180 degrees, the equation would be:

Since the known angle is 108 degrees less than the supplementary angle, can also be expressed as .

So the equation now looks like this:

Now, solve algebraically.

Once you have solved algebraically, you would know that the supplementary angle is 144 degrees. To find the other angle, simply subtract 144 from 180.

To double check, subtract 36 from 144. You should get 108.

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