Question 940851

Two Angles are Supplementary if they add up to {{{180}}} degrees.

if one angle is {{{alpha}}} and its supplementary angle {{{beta}}}, we have

{{{alpha+beta=180}}}

if given that t he measure of an angle's  (let say {{{alpha}}})is eleven times the measure of a supplementary angle (let say {{{beta}}}), then we have

 {{{alpha=11*beta}}} ....substitute it in {{{alpha+beta=180}}}

{{{11*beta+beta=180}}} ....solve for {{{beta}}}

{{{12*beta=180}}}

{{{beta=180/12}}}

{{{highlight(beta=15)}}}


now find {{{alpha}}}

 {{{alpha=11*beta}}}

 {{{alpha=11*15}}}

 {{{highlight(alpha=165)}}}