Question 1044740

Two angles {{{alpha}}} and {{{beta}}} are complementary when they
add up to {{{90}}} degrees (a Right Angle}}}.

so, {{{alpha+beta=90}}}

if given {{{alpha=(4/5)beta}}}, than we have

{{{(4/5)beta+beta=90}}}.......solve for {{{beta}}}

{{{(4/5)beta+(5/5)beta=90}}}

{{{(9/5)beta=90}}}

{{{9beta=90*5}}}

{{{9beta=450}}}

{{{beta=450/9}}}

{{{beta=50}}}


now find {{{alpha}}}

 {{{alpha=(4/5)beta}}}-> {{{alpha=(4/cross(5)1)cross(50)10}}}-> {{{alpha=40}}}