Question 1077602

Two angles,{{{alpha}}} and {{{beta}}}, are supplementary when they add up to {{{180}}} degrees.

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

if an angle (let's say {{{alpha}}}) measures {{{124}}}° more than the measure of a supplementary angle ({{{beta}}}), we know that
 
{{{alpha=beta +124}}}.....eq.2

substitute {{{alpha}}} from eq.2 in eq.1

{{{beta +124+beta=180}}}....eq.1

{{{2beta=180-124}}}

{{{2beta=56}}}

{{{beta=56/2}}}

{{{beta=28}}}°

and,{{{alpha=beta +124}}}=>{{{alpha=28 +124}}}=>{{{alpha=152}}}°

so, your supplementary angles are:{{{152}}}° and {{{28}}}°