Question 663202


In a right triangle one angle is {{{90}}} degrees, and the sum of all is {{{180}}} degrees, 

let {{{alpha}}} be the smallest angle

if {{{alpha}}}  is {{{16}}} smaller than the next smallest angle {{{beta}}}, then

{{{alpha+16=beta}}} 

so, we will have

{{{alpha+beta+90=180}}} 


{{{alpha+beta=90}}} ....replace  {{{beta=alpha+16}}} 

{{{alpha+alpha+16=90}}}...solve for {{{alpha}}}

{{{2alpha=90-16}}}

{{{2alpha=74}}}

{{{alpha=74/2}}}

{{{highlight(alpha=37)}}}


now find {{{beta}}}

{{{beta=alpha+16}}}

{{{beta=37+16}}}

{{{highlight(beta=53)}}}