SOLUTION: 5. The measure of the largest angle of a triangle is 80 more than the measure of the smallest angle, and the measure of the remaining angle is 10 more than the measure of the small

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Question 813531: 5. The measure of the largest angle of a triangle is 80 more than the measure of the smallest angle, and the measure of the remaining angle is 10 more than the measure of the smallest. Find the measure of each angle.
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Answer by lwsshak3(11628) About Me  (Show Source):
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The measure of the largest angle of a triangle is 80 more than the measure of the smallest angle, and the measure of the remaining angle is 10 more than the measure of the smallest. Find the measure of each angle.
..
let x = measure of the smallest angle
x+80 = measure of the largest angle
x+10 = measure of the 3rd angle
..
x+x+80+x+10=180˚
3x+90=180
3x=90
x=30
x+80=110
x+10=40
..
measure of the smallest angle=30˚
measure of the largest angle=110˚
measure of the 3rd angle=40˚