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If two angles are complementary, the sum of their measures is 90 degrees. Call one of the angles x. This means that its complement is 90 - x degrees. But the difference in their measures is 12 degrees.

Answer:

51° and 39°

Step-by-step explanation:

Complementary angles are angles that add up to 90°

If we let one angle = x

Then the other angle is ( 90 - x)

Since the difference between the two angles is 12°

⇒ x - (90 - x) = 12

x - 90 + x = 12

2x -90 = 12

2x = 102

x = 102/2

x = 51°

So, one of the angle is 51°

The other angle = 90 - x = 90 - 51 = 39°

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