Question 1192900

let one angle be {{{alpha}}} and other {{{beta}}}

if angles are supplementary, we have

{{{alpha+beta=180}}}.........eq.1


if one ( let’s say {{{alpha}}}) is {{{84}}}° more than {{{12 }}}of the other, we have


{{{alpha=12beta+84}}}..........substitute in eq.1

{{{12beta+84+beta=180}}}

{{{13beta=180-84}}}

{{{13beta=96}}}

{{{beta=96/13}}}

{{{beta=7.38}}}°

then

{{{alpha=12*7.38+84}}}

{{{alpha=172.62}}}°