Question 490259


Complementary Angles add up to {{{90}}}°.


let angles be {{{alpha}}} and {{{beta}}}


{{{alpha+beta=90}}}

given:

angle {{{alpha}}} measures 38° more than the measure of a complementary angle {{{beta}}}

so, {{{alpha=beta+38}}}....plug it in {{{alpha+beta=90}}}


{{{beta+38+beta=90}}}


{{{2beta+38=90}}}

{{{2beta=90-38}}}

{{{2beta=52}}}

{{{beta=26}}}

than {{{alpha=26+38}}}.......->...{{{alpha=64}}}