Question 987980

recall: Supplementary angles add up to {{{180}}} degrees.

if an angle is {{{x}}}, its supplement is {{{180-x}}}

and if an angle is {{{30}}} degree {{{more}}} than {{{twice}}} the measure of the {{{supplement}}}, then

{{{x=2(180-x)+30}}}

{{{x=360-2x+30}}}

{{{x+2x=390}}}

{{{3x=390}}}

{{{x=390/3}}}

{{{highlight(x=130)}}}

so, your angle is {{{130}}} degrees and its supplement is {{{50}}} degrees.