Question 1048299

Supplementary angles add up to {{{180}}} degrees.
let us consider the angle as {{{x}}} degrees, than its supplementary angle will be {{{(180-x)}}} degrees

if the measure of one angle is {{{38}}} degrees less than the measure of its supplement, we have that 

{{{x+38=180 -x}}}........solve for {{{x}}}

{{{x+x=180-38}}}

{{{2x=142}}}

{{{x=142/2}}}

{{{x=71}}}degrees-> your angle

and its supplementary angle {{{(180-x)=180-71=109}}}degrees