Question 759432

a linear pair of angles are supplementary because they always add to {{{180}}}°

if the measure of one angle is {{{(3x+7)}}}° and the measure of the other angle is {{{(5x-3)}}}°, then
 
{{{(3x+7)+(5x-3)=180}}}°

{{{3x+7+5x-3=180}}}°

{{{8x+4=180}}}°

{{{8x=180-4}}}°

{{{8x=176}}}°

{{{x=176/8}}}°

{{{x=22}}}°

so, the measure of one angle is {{{(3x+7)=3*22+7=66+7=73}}}°

 the measure of the other angle is {{{(5x-3)=5*22-3=110-3=107}}}°