An angle measures 47.2° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

A +B = 90

A-B = 47.2

add the equations to eliminate one variable:

2A = 90+47.2 = 137.2

A = 137.2/2 = 68.6 degrees

B =90-68.6 = 21.4 degrees

B = A-47.2 = 68.6-47.2 = 21.4 degrees