Question 445433

definition: complementary angles are a pair of angles whose measures add up to {{{90}}} degrees

{{{alpha + beta=90}}}

given: {{{alpha}}} is 10° more than the measure of {{{beta}}}

{{{alpha=beta +10}}} ........substitute in {{{alpha + beta=90}}}

{{{beta +10 + beta=90}}}....find {{{beta}}}

{{{2beta=90-10}}}

{{{2beta=80}}}

{{{beta=40}}}.........now find {{{alpha}}}


{{{alpha=beta +10}}}

{{{alpha=40 +10}}}

{{{alpha=50}}}