Question 500455

given:

The difference between two complementary angles is {{{14}}}

by definition, two complementary angles  add up to {{{90}}}°

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

{{{alpha + beta=90}}}

if given {{{alpha - beta=14}}}....->....{{{alpha=14+beta}}}...substitute in {{{alpha + beta=90}}} and find {{{beta}}}

{{{14+beta + beta=90}}}

{{{2beta=90-14}}}

{{{2beta=76}}}

{{{beta=76/2}}}

{{{highlight(beta=38)}}} ....->....{{{alpha=14+38}}}....->....{{{highlight(alpha=52)}}}