Answer
$ 44\frac{1}{3}° $
Work Step by Step
Two angles are complementary if the sum of their measures is 90°.
The complement of a $45\frac{2}{3}°$ angle is an angle whose measure is $90°-45\frac{2}{3}° = 44\frac{1}{3}° $
To check, notice that $45\frac{2}{3}° + 44\frac{1}{3}° = 90°$.
