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Two angles that add up to a right angle are called complementary angles.

Let the larger angle be x degrees, then the smallest angle is x - 15 degrees. So we have:

x + (x - 15) = 90

2x - 15 = 90

2x - 15 + 15 = 90 + 15

2x = 105

2x/2 = 105/2

x = 52.5

x - 15 = 52.5 - 15 = 37.5

Thus, the complementary angles are 37.5 and 52.5 degrees.

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Q: What is The measure of the smaller of two complementary angles is 15 degrees less than the measure of the larger angle Find the measure of each angle?
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