Question 1170312


the sum of all angles in △ {{{DEF }}} is {{{180}}}

 if
{{{m}}} ∠ {{{D = 2x + 3 }}},
{{{ m }}}∠{{{ E = 5x}}} , a n d 
{{{m }}}∠ {{{F = 4x + 1}}}

we have

{{{2x + 3+5x+4x + 1=180}}}......solve for {{{x}}}

{{{11x + 4=180}}}

{{{11x=180-4}}}

{{{11x=176}}}

{{{x=176/11}}}

{{{x=16}}}


 the measure of

{{{m}}} ∠ {{{D = 2*16 + 3 }}}=>{{{m}}} ∠ {{{D = 35 }}}
{{{ m }}}∠{{{ E = 5*16}}}=>{{{ m }}}∠{{{ E = 80}}}
{{{m }}}∠ {{{F = 4*16 + 1}}}=>{{{m }}}∠ {{{F = 65}}}