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x and y from a linear pair of two adjact...

x and y from a linear pair of two adjactent angles. If `y=3x-12^(@)`, find the values of x and y

A

`x=47^(@) and y=132^(@)`

B

`x=48^(@) and y=132^(@)`

C

`x=45^(@) and y=132^(@)`

D

`x=48^(@) and y=122^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Since x and y from a linear pair of two adjacent angles.
`x+y=180^(@)`
`rArrx+3x-12^(@)=180^(@)" " ( :. y=3x -12^(@))`
`rArr4x=180^(@)+12^(@)`
`rArr4x=192^(@)`
`rArrx=48^(@)`
`x+y=180^(@)rarr 48^(@)+y=180^(@)`
i.e.,`y=180^(@)-48^(@)=132^(@)`
`:. x=48^(@) and y=132^(@)`
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