1.

If the ratio of three angles of a triangle is 2 : 3 : 4, then determine the circular value of the greatest angle .

Answer» Let the angles be `2x^(@) , 3x^(@) and 4x^(@)`.
`therefore 2x^(@) + 3x^(@) + 4x^(@) = 180 `
or , `9x^(@) = 180^(@) or, x^(@) = (180^(@))/(9) = 20^(@)`.
`therefore" the greatest angle" = 4x^(@) = 4 xx 20^(@) = 80^(@)`
` =80^(@) xx (pi)/(180^(@)) = (4pi)/(9)`


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