If the angle of a triangle are in the ratio `2:3:4,` determine three angles.

Explanation

It is given that the angle of triangle are in the ratio 2:3: 4. Let the angles are 2x, 3x and 4x.
According to the angle sum property, the sum of interior angles of a triangle is 180 degree.`2x+3x+4x=180^@`
`9x = 180^@`
`x = 20`
The value of x is 20.
`2x = 2(20) = 40`
`3x=3(20) = 60 `
`4x= 4 (20) = 80`
Therefore the angles of triangle are `40, 60` and `80`.