SOLUTION: The sum of the measures of a triangle is 180°. The largest angle is twice the smallest angle. The sum of the smallest and the largest is twice the other angle. Find the measure of
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Question 1142935: The sum of the measures of a triangle is 180°. The largest angle is twice the smallest angle. The sum of the smallest and the largest is twice the other angle. Find the measure of each angle. Answer by greenestamps(13200) (Show Source):
The largest angle is twice the smallest angle.
So let x be the measure of the smallest angle; then 2x is the measure of the largest.
The sum of the smallest and the largest is twice the other angle.
The sum of the largest and smallest is x+2x = 3x; that is twice the measure of the third angle. So the measure of the third angle is 1.5x.
