Question 1198663


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

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

{{{alpha + beta=90}}}


if an angle measures {{{6}}}° less than the measure of its complementary angle

{{{alpha=beta-6}}}

substitute in

{{{alpha + beta=90}}}

{{{beta-6 + beta=90}}}

{{{2beta=90+6}}}

{{{2beta=96}}}

{{{beta=48}}}


then

{{{alpha=48-6}}}

{{{alpha=42}}}


one angle measures {{{42}}}° and the measure of its complementary angle is {{{48}}}