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Let the measure of the larger angle be x degrees.
The complementary angle to the larger angle would be 90 - x degrees.
Since the two angles are complementary, we have:
x + 90 - x = 90
Solving for x, we get:
x + 90 - x = 90
90 = 90
Therefore, x = 0
So the larger angle is 0 degrees and the complementary angle is 90 degrees.