Question 648556
By definition if two angles are complementary, they add up to 90 degrees.

Let x be one of the complementary angles.  Let x+24 be other.

Then x+x+24 = 90

2x + 24 = 90

2x = 66

x = 33

33 is one angle

(33+24) = 57 is the other.

33,57
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To check:

33+57 = 90

Thus, these are complementary angles.