Question 550366
"The measure of an angle is two times the measure of a supplementary angle" means that {{{x=2(180-x)}}}. Let's solve it to find x



{{{x=2(180-x)}}} Start with the given equation.



{{{x=360-2x}}} Distribute.



{{{x+2x=360}}} Add {{{2x}}} to both sides.



{{{3x=360}}} Combine like terms on the left side.



{{{x=(360)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=120}}} Reduce.



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Answer:


So the solution is {{{x=120}}} 



So the original angle is 120 degrees and the supplementary angle is 180-120 = 60 degrees