The ratio of the measures of the three angles in a triangle is 2:9:4. Find the measure of the largest angle.
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since the ratio of measures of the three angle in a triangle is 2:9:4.......................given
let common multiple be x
therefore angles are 2x,9x,and 4x
since the sum of all angle of a triangle is 180°
2x+9x+4x=180°
15x=180°
x=180/15
x=1 2°
therefore angles are 2x=24°
9x=108°
4x=48°
the measure of the largest angle is 108°
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