SOLUTION: Find the measure of an angle if its measure is 9° less than eight times the measure of its complement

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Question 550451: Find the measure of an angle if its measure is 9° less than eight times the measure of its complement
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"its measure is 9° less than eight times the measure of its complement" means that x=8%2890-x%29-9, so let's solve for x


x=8%2890-x%29-9 Start with the given equation.


x=720-8x-9 Distribute.


x=-8x%2B711 Combine like terms on the right side.


x%2B8x=711 Add 8x to both sides.


9x=711 Combine like terms on the left side.


x=%28711%29%2F%289%29 Divide both sides by 9 to isolate x.


x=79 Reduce.


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Answer:

So the solution is x=79


So the angle is 79 degrees