The measure of an angle is forty-four times the measure of its supplementary angle. What is the measure of each angle?

176 degrees and 4 degrees.

Step-by-step explanation: To find the measure of the angles, all you have to do is create an equation. Let's call the supplementary angle x and the other angle 44x, because the other angle is 44*the supplementary angle. Now, we structure the equation 44x + x = 180. The reason we say the sum of the angles is 180 is because any angle plus its supplementary angle equals 180 degrees. From there it's just algebra:

44x + x = 180

45x = 180

x = 180/45

x = 4

We can check our work by substituting x for 4 in the equation:

44*4 + 4 = 180

174 + 4 = 180

180 = 180

Thus, the first angle is 176 degrees and the second is 4 degrees.

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