Question

An angle measures 2.8° less than the measure of a complementary angle. What is the measure of each angle?

Answer 1

43.6°, 46.4°

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°.