SOLUTION: In a triangle, one angle is twice the measure of the second angle. The third angle is three times the measure of the second angle. Find the measure of each angle.

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Question 229: In a triangle, one angle is twice the measure of the second angle. The third angle is three times the measure of the second angle. Find the measure of each angle.
Found 2 solutions by KMST, josgarithmetic:
Answer by KMST(5484) About Me  (Show Source):
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A = measure of the first angle mentioned in the story
B = measure of the angle called " the second angle" in the story (the second angle mentioned in the story).
C = measure of the third angle mentioned in the story.
The story first tells us that A=2B .
Then, it tells us that C=3B .
We know that the measures of the 3 angles in a triangle add up to 180%5Eo .
So, A%2BB%2BC=180%5Eo ,
and substituting 2B for A and 3B for C , we have
2B%2BB%2B3B=180%5Eo-->6B=180%5Eo-->B%22=%22180%5Eo%2F6%5E%22+%22-->highlight%28B=30%5Eo%29 ,
and substituting 30%5Eo for B in A=2B and C=3B , we get
A=2B--->A=2%2A30%5Eo--->highlight%28A=60%5Eo%29 , and
C=3B--->C=3%2A30%5Eo--->highlight%28C=90%5Eo%29

Answer by josgarithmetic(39850) About Me  (Show Source):
You can put this solution on YOUR website!
ANGLE               MEASURE
OneAngle             2s
SecondAngle           s
Third                3s

SUM                 180

6s=180
s=180%2F6
highlight%28s=30%29, and 60 and 90 OneAngle, and Third(angle)