SOLUTION: the largest angle in a triangle is 50 degrees more than the smallest angle. the sum of the measures of the smaller 2 angles is 10 degrees more than the largest angle. find the meas

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Question 267743: the largest angle in a triangle is 50 degrees more than the smallest angle. the sum of the measures of the smaller 2 angles is 10 degrees more than the largest angle. find the measure of each angle
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the largest angle in a triangle is 50 degrees more than the smallest angle. the sum of the measures of the smaller 2 angles is 10 degrees more than the largest angle. find the measure of each angle
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Let the smallest angle = x
Then largest = x+50
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x + 2nd = x+50+10
So 2nd = 60
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Equation:
x + 60 + x+50 = 180
2x + 110 = 180
2x = 70
x = 35 (smallest)
2nd = 60 degrees
x+50 = 85 degrees
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Cheers,
Stan H.
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