Question 1000214

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

let's angles be {{{alpha}}} and {{{beta}}}

then we have {{{alpha+beta=180}}}

if the measure of {{{alpha}}} is nine times the measure of a supplementary angle
{{{beta}}}, then we have {{{alpha=9beta}}}

substitute {{{alpha}}} in  {{{alpha+beta=180}}}

 {{{9beta+beta=180}}}....solve for {{{beta}}}

 {{{10beta=180}}}

 {{{highlight(beta=18)}}}


{{{alpha=9beta}}}=>{{{alpha=9*18}}}=>{{{highlight(alpha=162)}}}