SOLUTION: In a triangle, one angle is 4 times the measure of the second angle. the third angle is seven times the measure of the second angle. find the measure of each angle. hint: draw and

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Question 177443: In a triangle, one angle is 4 times the measure of the second angle. the third angle is seven times the measure of the second angle. find the measure of each angle. hint: draw and label a diagram.
Thanks for helping me out on this!
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call our angles a,b,and c
:
we are given that
:
a=4b.......eq 1
c=7b.......eq 2
: we know by rule that:
a+b+c=180..eq 3
:
lets plug a's value from eq 1 and c's value from eq 2 into eq 3
:
4b+b+7b=180
:
12b=180
:
highlight%28b=15%29degrees
:
a=4b=4%2815%29=highlight%2860%29degrees
:
c=7b=7%2815%29=highlight%28105%29degrees