Question 175220
let the measurements of our angles be a,b,and c
:
a=b+6........eq 1
c=3(a+b)-4...eq 2
a+b+c=180....eq 3
:
take a's value from eq 1 and plug it into eq 2.
:
c=3((b+6)+b)-4--->c=6b+18-4--->c=6b+14...revised eq 2
:
now take a's value from eq 1 and c's value from revised eq 2 and plug them into eq 3
:
b+6+b+6b+14=180
:
8b=160
:
{{{highlight(b=20)}}}degrees
:
{{{highlight(a=20+6=26)}}}degrees
:
{{{highlight(c=6(20)+14=134)}}}degrees