Question 1152598
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The sum of the measure of the second and third angles is 5 times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measure of the....
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{{{system(5x=y+z,y+16=z,x+y+z=180)}}}


Look at the first and the third equations, and substitute for {{{y+z}}}.
{{{x+5x=180}}}
{{{6x=180}}}
{{{highlight(x=30)}}}


Revising the system for known x of 30:
{{{system(y+z=150,y-z=-16,y+z=150)}}}


{{{system(y+z=150,y-z=-16)}}}
ADD THOSE.
{{{2y=134}}}
{{{highlight(y=67)}}}


{{{z=150-67}}}
{{{highlight(z=83)}}}





check:  30+67+83=180