Answer :


It can be observed that ΔADX and ΔACX lie on the same base AX and are between the same parallels AB and DC.


Area (ΔADX) = Area (ΔACX) (i)


ΔACY and ΔACX lie on the same base AC and are between the same parallels AC and XY


Area (ΔACY) = Area (ACX) (ii)


From equations (i) and (ii), we obtain


Area (ΔADX) = Area (ΔACY)

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