SOLUTION: One angle in a triangle is half the largest angle but three times the smallest. Find all three angles. Using the guess and check method, I found that the angles would be 108-18-5

Algebra ->  Linear-equations -> SOLUTION: One angle in a triangle is half the largest angle but three times the smallest. Find all three angles. Using the guess and check method, I found that the angles would be 108-18-5      Log On


   



Question 459781: One angle in a triangle is half the largest angle but three times the smallest. Find all three angles.
Using the guess and check method, I found that the angles would be 108-18-54, however I don't know how to set that up using algebra.
Thanks for your time!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One angle in a triangle is half the largest angle but three times the smallest. Find all three angles.
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Let the smallest angle be "x".
Another angle is "3x"
Largest is 2*3x = "6x"
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Equation:
x + 3x + 6x = 180
10x = 180
x = 18 degrees
3x = 54 degrees
6x = 108 degrees
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Cheers,
Stan H.
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