Question

An angle measures 8.2° more than the measure of its complementary angle. What is the

measure of each angle?

Answer 1

9514 1404 393

Answer:

49.1°, 40.9°

Explanation:

Let x represent the smaller angle. Then the larger is x+8.2 and the total of the two angles is ...

x + (x +8.2) = 90

2x +8.2 = 90 . . . . . collect terms

x + 4.1 = 45 . . . . . . .divide by 2

x = 40.9

x +8.2 = 49.1

The two angles are 49.1° and 40.9°.