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Suppose the larger angle is x degrees.

Then the smaller angle is x - 2 degrees, and so they sum to 2x - 28 degrees.

The two angles are complementary, so 2x - 28 = 90

is 2x = 90 + 28 = 118

so that x = 118/2 = 59 degrees and then x - 29 = 59 - 28 = 31 degrees.

The two angles are 59 and 31 degrees.

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