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In the above figure both RISK and CLUE ...

In the above figure both RISK and CLUE are parallelograms. Find the value of x.

Text Solution

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Thediagonalsofaparallelogram bisect each other.
Also,inaparallelogram,oppositeangles are equal and adjacentanglesaresupplementary..
Using this property, we cancalculate the unknown angles.
In parallelogram RISK
`angleRSK+angleISK=180^@`
`120^@+angleISK=180^@`
`angleISK=60^@`
`angleI=angleK`(in parallelogram opposite anglesareequal
`=70`
InparallelogramCLUE
`angleL=angleE`(Inparallelogram opposite angle are equal)
the sum of all interior angleoftriangleis`=180^@`
`x+60^@+70^@=180^@``x=180^@-130^@`
`x=50^@`
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