Question 648344


Supplementary angles are pairs of angles that add up to {{{180}}} degrees.
let's angles be {{{alpha}}} and {{{beta}}}

given:

One angle (let it be {{{alpha}}}) is {{{212}}} {{{less}}} than {{{three}}} {{{times}}} the other({{{beta}}}).

{{{alpha=3beta-212}}}..........1

{{{alpha+beta=180}}}....2...plug in {{{alpha}}} from equation 1 and sole for {{{beta}}}
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{{{3beta-212+beta=180}}}

{{{4beta=180+212}}}

{{{4beta=392}}}

{{{beta=392/4}}}

{{{highlight(beta=98)}}}...now find {{{alpha}}}

{{{alpha=3beta-212}}}..........1

{{{alpha=3*98-212}}}

{{{alpha=294-212}}}

{{{highlight(alpha=82)}}}

check the sum:

{{{alpha+beta=180}}}....2

{{{82+98=180}}}

{{{180=180}}}