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Tell answer of this question given above ​

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Answered by msjayasuriya4
1

Answer:

In each case, given above, find the values of x and y.

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ANSWER

Here, ABCD is a parallelogram.

We know that in parallelogram adjacent angles are supplementary.

⇒ ∠A+∠B=180

o

⇒ 4x+20

o

+7y=180

o

⇒ 4x+7y=160

o

------ ( 1 )

⇒ ∠A+∠D=180

o

⇒ 4x+20

o

+6x+3y−8=180

o

⇒ 10x+3y=168

o

----- ( 2 )

No multiplying equation ( 1 ) by 10 and equation ( 2 ) by 4 we get,

⇒ 40x+70y=1600

o

----- ( 3 )

⇒ 40x+12y=672

o

----- ( 4 )

Now subtracting equation ( 4 ) from equation ( 3 ) we get,

⇒ y=16

o

Substituting value of y in equation ( 1 )

⇒ 4x+7(16

o

)=160

o

⇒ 4x=48

o

∴ x=12

o

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