SOLUTION: The measure of the smallest angle of a triangle is ​one-fifth the measure of the largest angle. The measure of the second angle is 95 degrees° less than the measure o

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Question 1050944: The measure of the smallest angle of a triangle is
​one-fifth
the measure of the largest angle. The measure of the second angle is
95 degrees°
less than the measure of the largest angle. Find the measure of the angles of the triangle.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of the smallest angle of a triangle is
​one-fifth the measure of the largest angle.
The measure of the second angle is 95 degrees° less than the measure of the largest angle.
Find the measure of the angles of the triangle.
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largest angle:: x
smallest angle:: x/5
2nd angle:: x-95
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Equation:
x + (x/5) + x-95 = 180
(11/5)x = 275
x = 25*5 = 125 degrees
x/5 = 25 degrees
x-95 = 30 degrees
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Cheers
Stan H.
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