Question

An angle measures 85.2° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Answer:Complementary angles are two angles whose sum is 90 degrees.

Let x represent one of the angles.

The other angle which is 84.2 degrees less would be x - 84.2.

Using this, we can write an equation.

x + (x-84.2) = 90.

Combine like terms:   2x - 84.2 = 90

Add 84.2 to both sides of the equation.

2x = 174.2

Divide by 2:  x = 87.1  

and x - 84.2 would equal 2.9.       to check: does  87.1 + 2.9 = 90?  yes.

Step-by-step explanation: Thats as close as its gonna it i think