Question 550451
"its measure is 9° less than eight times the measure of its complement" means that {{{x=8(90-x)-9}}}, so let's solve for x



{{{x=8(90-x)-9}}} Start with the given equation.



{{{x=720-8x-9}}} Distribute.



{{{x=-8x+711}}} Combine like terms on the right side.



{{{x+8x=711}}} Add {{{8x}}} to both sides.



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



{{{x=(711)/(9)}}} 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