SOLUTION: One angle of a triangle measures 6 degrees more than the second. The third angle measures 4 degrees less than 3 times of the sum of the measures of the first two angles. Find the t

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Question 175220: One angle of a triangle measures 6 degrees more than the second. The third angle measures 4 degrees less than 3 times of the sum of the measures of the first two angles. Find the three measure of the angles.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
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%28b=20%29degrees
:
highlight%28a=20%2B6=26%29degrees
:
highlight%28c=6%2820%29%2B14=134%29degrees