Question 907660

complementary angles mean the sum of at least two angles equals {{{90}}} 


 assuming we are using variables you would use {{{x}}} to be the larger angle measure, and it's 20%  larger then the other angle which means the other angle is  {{{ (x-(20/100) x)}}}

so, we have:

{{{90 = x + (x-(20/100) x)}}} ....solve for {{{x}}}

{{{90 = x + (x-0.2x)}}}

{{{90 = x + 0.8x}}}

{{{90 =  1.8x}}}

{{{90/1.8=x}}}

{{{900/18=x}}}

{{{50=x}}}

now, the other angle is  {{{ (x-(20/100) x) }}}

{{{(x-(20/100) x)= 50-0.2 50}}}

{{{(x-(20/100) x)= 50-10}}}

{{{(x-(20/100) x)= 40}}}

so, complementary angles are {{{50}}} degree and {{{40}}} degree