An angle measures 14.4° more than the measure of a complementary angle. What is the measure of each angle?

Complementary angles are two angles whose degree measurements add up to 90 degrees. The first angle would be (x + 14.4) and its complementary angle would be x.

Therefore, you would set up this problem as:

x + (x + 14.4) = 90

2x + 14.4 = 90

2x = 75.6

x = 37.8  (one angle)

And (x + 14.4) = 52.2 (other angle).

To check: $${\mathtt{37.8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{52.2}} = {\mathtt{90}}$$