SOLUTION: Please help me solve: One angle of a triangle is 3 times as large as another. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of
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Question 346039: Please help me solve: One angle of a triangle is 3 times as large as another. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of each angle.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
One angle of a triangle is 3 times as large as another. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of each angle.
.
Let x = smallest angle
then
3x = largest angle
x+40 = third angle
.
x + 3x + x+40 = 180
5x + 40 = 180
5x = 140
x = 140/5
x = 28 degs (smallest)
.
Largest:
3x = 3(28) = 84 degs
.
Third:
x+40 = 28+40 = 68 degs
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