Question 177875
let a,b,and c be the measure of angle A, B, and C,respectively
:
b=(1/2)a-8....eq 1
c=a+28........eq 2
a+b+c=180.....eq 3
:
take b's value from eq 1 and c's value from eq 2 and plug them into eq 3
:
a+(a+28)+((1/2)a-8)=180....plugged in values
:
(5/2)a+20=180...collected like terms on left side
:
(5/2)a=160.....subtracted 20 from both sides
:
{{{highlight(a=64)}}}degrees......multiplied both sides by 2/5.
:
b=(1/2)a-8{{{b=(1/2)(64)-8=highlight(24)}}}degrees
:
c=a+28{{{c=64+28=highlight(92)}}}degrees