Question

An angle measures 66.4º more than the measure of its complementary angle. What is the

measure of each angle?
o and
o

Answer 1

11.8° and 78.2°

Explanation:

let the angles be x and x + 66.4

complementary angles sum to 90° , then

x + x + 66.4 = 90

2x + 66.4 = 90 ( subtract 66.4 from both sides )

2x = 23.6 ( divide both sides by 2 )

x = 11.8 and

x + 66.4 = 11.8 + 66.4 = 78.2

The 2 angles are 11.8° and 78.2°