SOLUTION: the measure of the largest angle of a triangle is twice the measure of the smallest angle. The sum of the smallest angle and the largest angle is twice the other angle. Find the me

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Question 1149252: the measure of the largest angle of a triangle is twice the measure of the smallest angle. The sum of the smallest angle and the largest angle is twice the other angle. Find the measure of the each angle.
Answer by greenestamps(13198) About Me  (Show Source):
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the measure of the largest angle of a triangle is twice the measure of the smallest angle.

Let x be the measure of the smallest angle; then 2x is the measure of the largest angle.

The sum of the smallest angle and the largest angle is twice the other angle.

The sum of the smallest and largest angles is x+2x = 3x, so the measure of the third angle is 1.5x.

The sum of the measures of the three angles is 180 degrees:

x%2B2x%2B1.5x+=+180

Solve using basic algebra....