Question 172305
lets call our angles a ,b, and c
:
a+b+c=180....eq 1
a=1/2b.......eq 2
c=b-20.......eq 3
:
take a's value from eq 2 and c's value from eq 3 and plug them into eq 1
:
1/2b+b+b-20=180
:
5/2b=200... combine like terms
:
5b=400...cross multiply
:
{{{ highlight(b=80)}}}degrees
:
{{{highlight(a=1/2(80)=40)}}}degrees
:
{{{highlight(c=80-20=60)}}}degrees