Question 948830

Recall that the sum of the interior angles of any triangle is {{{180}}}°.  

 let {{{ k}}}be an arbitrary constant of proportionality 

you are given:  given that the ratio of the angles is given as {{{2:5:8}}}, we can say:


{{{2k +5k +8k = 180}}}


Solve for {{{ k}}} and then calculate {{{ 5k}}} and {{{ 8k}}} to get the measure of the three angles.  


{{{15k = 180}}}

{{{k = 180/15}}}

{{{k = 12}}}

your angles:

{{{2k=2*12=24}}}

{{{ 5k=5*12=60}}} 

and {{{ 8k=8*12=96}}}

so, your angles are: {{{24}}},{{{60}}},and {{{96}}}