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

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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) About Me  (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 x+=+17%2890-x%29. So let's solve for x.



x=17%2890-x%29 Start with the given equation.


x=1530-17x Distribute.


x%2B17x=1530 Add 17x to both sides.


18x=1530 Combine like terms on the left side.


x=%281530%29%2F%2818%29 Divide both sides by 18 to isolate x.


x=85 Reduce.


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Answer:

So the solution is x=85


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