The ratio of the measures of the 3 angles of a triangle is 1:2:3. What is the measure of the largest | MathCelebrity Forum

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

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

Let the smallest angle be x.
Then we have 3 angles based on the ratio: x, 2x, 3x

We know the sum of the angles of a triangle equals 180. So we have:
x + 2x + 3x = 180
6x = 180

Divide each side by 6:
6x/6 = 180/6
x = 30

The largest angle is 3(30) = 90

 
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