Question 661933
given:

{{{alpha=(3x-2)}}}, {{{beta=(2x+3)}}}, and {{{gamma=(x+8)}}} 


{{{(3x-2)+(2x+3)+(x+8)=180 }}}


{{{3x-2+2x+3+x+8=180 }}}


{{{6x+9=180 }}}

{{{6x=180 -9}}}


{{{6x=171}}}


{{{x=171/6}}}


{{{highlight(x=28.5)}}}


{{{alpha=3x-2}}}, 


{{{alpha=3*28.5-2}}}

{{{alpha=85.5-2}}}


{{{alpha=83.5}}}



{{{beta=2x+3}}}, 

{{{beta=2*28.5+3}}}

{{{beta=57+3}}}

{{{beta=60}}}


and 

{{{gamma=x+8}}} 

{{{gamma=28.5+8}}} 

{{{gamma=36.5}}} 


check:


{{{alpha+beta+gamma=180}}}

{{{83.5+60+36.5=180}}}

{{{180=180}}}