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Find the two complementary angles, so that the measure of one angle is 10° less than the other angle

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Final answer:

To find the two complementary angles, assume one angle is x degrees and the other is 10 degrees less than x. Then, use the fact that the sum of complementary angles is 90 degrees to solve for x. The two complementary angles are 50 degrees and 40 degrees.

Step-by-step explanation:

To find the two complementary angles, we need to consider that the sum of the measures of complementary angles is 90 degrees.

Let's assume that one angle is x degrees. According to the problem, the other angle is 10 degrees less, so it would be (x - 10) degrees.

Since the two angles are complementary, their sum must be 90 degrees. So, we can write the equation: x + (x - 10) = 90.

Solving the equation gives us x = 50 degrees. Therefore, the two complementary angles are 50 degrees and (50 - 10) = 40 degrees.

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