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In the adjoining figure, x : y : z=5 : 4...

In the adjoining figure, `x : y : z=5 : 4 : 6`. If XOY is a straight line, find the values of x, y and z.

Text Solution

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The correct Answer is:
`x=60, y=48, z=72`
Let `x=(5t)^(@), y=(4t)^(@) and z=(6t)^(@)`.
`x+y+z=180^(@) implies 5t+4t+6t=180 implies 15t=180 implies t=12`.
`:. x=(5xx12)^(@)=60^(@), y=(4xx12)^(@)=48^(@) and z=(6xx12)^(@)=72^(@)`.
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