Question

The ratio of the measures of the three angles of a triangle is 2 : 3 : 4. The measure of the largest angle is_________.​

Answer 1

2x + 3x + 4x = 180°(angle sum property)

9x = 180

x = 20

now, largest angle = 4x = 80°

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Answer 2

let angles be x

2x,3x and 4x

Total sum of angles of triangle=180

so,

2x+3x+4x=180

9x=180

x=180\9

x=20

now ist angle=2x=2×20=40

2nd angle=3x=3×20=60

3rd angle=4x=4×20=80

So, the measure of largest angle is 80