Question 1159586

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


if an angle {{{alpha}}} measures {{{69.4}}}° more than the measure of its complementary angle is 

{{{alpha=beta+69.4 }}}°......eq.1

sum is 

{{{alpha+beta=90}}}°....substitute {{{alpha}}}

{{{beta+69.4+beta=90}}}°

{{{2beta=90-69.4}}}°

{{{2beta=20.6}}}°

{{{highlight(beta=10.3)}}}°

find {{{alpha}}}

{{{alpha=10.3+69.4 }}}°

{{{highlight(alpha=79.7) }}}°