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Question

Opposite angles of a parallelogram are ___


Solution


In the given parallelogram, AD || BC and AB || DC
Consider the diagonal BD which acts as a transversal for BC and AD

ADB=DBC=x ( alternate angles)
ABD=BDC=y ( alternate angles)
Hence we can see that
B=ABD+DBC=x+y
Also, D=ADB+BDC=x+y
Thus, B=D

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