Question 942370

the ratio of the measures of three sides of a triangle are {{{5:7:8}}} find the angle measures

{{{5x+7x+8x=180}}}

{{{20x=180}}}

{{{x=180/20}}}

{{{x=9}}} thuis is the multiplier for all angles thus

{{{5*9=45}}} the measure of the first angle 

{{{7*9=63}}} the measure of the second angle 

{{{8*9=72}}} the measure of the third angle 

check:

{{{45+63+72=180}}}

{{{180=180 }}}