Question 1131477

 complementary angles two angles whose sum is {{{90}}}°

if one angle is {{{alpha}}}, a complementary angle will be {{{beta}}}

 {{{alpha+beta=90}}}°


if angle {{{alpha}}} measures {{{6}}}° less than the measure of a complementary angle,we have

{{{alpha=beta-6}}}

{{{beta=alpha+6}}}


and, we have

{{{alpha+alpha+6=90}}}

{{{2alpha=90-6}}}

{{{2alpha=84}}}

{{{alpha=42}}}


and, a complementary angle will be

{{{beta=42+6}}}

{{{beta=48}}}