SOLUTION: The sum of the angles of a triangle is 180°. The largest angle is 28° more than the smallest angle. The largest angle is two more degrees than the middle angle. What is the measure

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Question 752370: The sum of the angles of a triangle is 180°. The largest angle is 28° more than the smallest angle. The largest angle is two more degrees than the middle angle. What is the measure of the middle angle? Use an augmented matrix to solve this problem.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the angles of a triangle is 180°. The largest angle is 28° more than the smallest angle. The largest angle is two more degrees than the middle angle. What is the measure of the middle angle?
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L + M + S = 180
L = S + 28
L = M + 2
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Substitute and solve for "L":
L + (L-2) + (L-28) = 180
3L -30 = 180
3L = 210
Largest = 70
Middle = 68
Smallest = L-28 = 42
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Cheers,
Stan H.
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