SOLUTION: In a triangle, the measure of the middle angle is 9 degrees less than twice the measure of the smallest angle. The largest is 37 degrees more than the measure of the smallest angl

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Question 995465: In a triangle, the measure of the middle angle is 9 degrees less than twice the measure of the smallest angle. The largest is 37 degrees more than the measure of the smallest angle. What are the measures of the three angles.
Found 2 solutions by stanbon, Boreal:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a triangle, the measure of the middle angle is 9 degrees less than twice the measure of the smallest angle. The largest is 37 degrees more than the measure of the smallest angle. What are the measures of the three angles.
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smallest:: x
middle:: 2x-9
largest:: x+37
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Equation:
x + 2x-9 + x+37 = 180 degrees
4x + 28 = 180
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x + 7 = 45
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x = 38 degrees
2x-9 = 67 degrees
x+37 = 75 degrees
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Cheers,
Stan H.
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
smallest=x
middle is 2x-9
largest is x+37
They all add to 180
x+2x-9+x+37=180
4x+28=180
4x=152
x=38
middle is 67
largest is 75
They add to 180 degrees (the units for each answer)