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The sides B A and D C of a quadrilateral...

The sides `B A` and `D C` of a quadrilateral `A B C D` are produced as shown in Figure. Prove that `a+b=x+ydot` Figure

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Construction-Join BD
`In/_ABD`
`/_ABD+/_ADB=b-(1)`
`In/_CBD`
`/_CBD+/_CBD=a-(2)`
adding equation 1 and 2
`/_ABD+/_CBD+/_ADB+/_CDB=a+b`
`x+y=a+b`.
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RD SHARMA-QUADRILATERALS-All Questions
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