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The measures of the angles of a triangle are in the ratio 3:2:1.What is the measure of the largest angle of the triangle?

Explanation

Let x,2x, and 3x be the measures of the three angles. Then:
x + 2x + 3x = 180
6x = 180
\(x=180 \div 6=30\)
3x = 3(30) = 90

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