Question 695136


Supplementary Angles add up to {{{180}}}°. 


let {{{alpha}}} and {{{beta}}} be supplementary angles


so,  {{{alpha+beta=180}}}°........1


given: {{{alpha}}} is {{{22}}} more than the {{{beta}}}


so, {{{alpha=beta+22}}}°........2


go to  {{{alpha+beta=180}}}°........1 and plug in {{{alpha}}}


{{{beta+22+beta=180}}}°....solve for  {{{beta}}}


{{{2beta+22=180}}}°


{{{2beta=180-22}}}°


{{{2beta=158}}}°


{{{beta=158/2}}}°


{{{highlight(beta=79)}}}°


now find {{{alpha}}}


{{{alpha+beta=180}}}°........1


{{{alpha+79=180}}}°


{{{alpha=180-79}}}°

{{{highlight(alpha=101)}}}°