Question 526621


"The Supplement of an angle is 20 less than 3 times the complement." means that {{{180-x=3(90-x)-20}}} where 'x' is the given angle.


{{{180-x=3(90-x)-20}}} Start with the given equation.



{{{180-x=270-3x-20}}} Distribute.



{{{180-x=-3x+250}}} Combine like terms on the right side.



{{{-x=-3x+250-180}}} Subtract {{{180}}} from both sides.



{{{-x+3x=250-180}}} Add {{{3x}}} to both sides.



{{{2x=250-180}}} Combine like terms on the left side.



{{{2x=70}}} Combine like terms on the right side.



{{{x=(70)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=35}}} Reduce.



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Answer:


So the solution is {{{x=35}}} 


This means that the given angle is 35 degrees.



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