SOLUTION: The sum of the angles in a triangle is always 180 degrees. In a particular triangle there the middle angle is six less than twice the smallest angle, and the largest angle is the s

Algebra ->  Angles -> SOLUTION: The sum of the angles in a triangle is always 180 degrees. In a particular triangle there the middle angle is six less than twice the smallest angle, and the largest angle is the s      Log On


   

Question 1092115: The sum of the angles in a triangle is always 180 degrees. In a particular triangle there the middle angle is six less than twice the smallest angle, and the largest angle is the sum of the smaller angles?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Smallest angle: x
Middle angle - six less than twice the smallest angle: 2x-6
Largest angle = sum of smaller angles: x+2x-6
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Let's put it all together
Smallest angle + middle angle + largest angle = 180
Use the equivalent values above:
Smallest angle: x
Middle angle: 2x-6
Largest angle: x+2x-6
All together:
x+2x-6+x+2x-6 = 180
Group like terms:
x+2x+x+2x-6-6 = 180
Simplify:
6x-12 = 180
You can do it from here, it goes like this:
6x = 192
x = 32
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Check:
6x-12 = 180
6(32)-12 = 180
192-12 = 180 Correct.
:
Happy learning,
John