Question 550365
"The measure of an angle is seventeen times the measure of a complementary angle" means that {{{x = 17(90-x)}}}. So let's solve for x.




{{{x=17(90-x)}}} Start with the given equation.



{{{x=1530-17x}}} Distribute.



{{{x+17x=1530}}} Add {{{17x}}} to both sides.



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



{{{x=(1530)/(18)}}} 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)