SOLUTION: The measure of an angle is seventeen times the measure of a complementary angle. What is the measure of each angle?

Question 550365: The measure of an angle is seventeen times the measure of a complementary angle. What is the measure of each angle?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"The measure of an angle is seventeen times the measure of a complementary angle" means that . So let's solve for x.

Start with the given equation.

Distribute.

Add to both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the solution is

which means that the unknown angle is 85 degrees and the complementary angle is 5 degrees (since 90 - 85 = 5)

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