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3 years ago

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

Mathematics

1 answer:

Ilya [14]3 years ago

3 0

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

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