Answer:
43.6°, 46.4°
Step-by-step explanation:
Let x represent the smaller angle. Then the complementary angle is (90°-x). The problem statement tells us the relation is ...
x = (90°-x) -2.8°
2x = 87.2° . . . . . add x, collect terms
x = 43.6° . . . . . . divide by 2
Then the complementary angle is ...
90°-x = 46.4°
The measures of the angles are 43.6° and 46.4°.
