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Let ABCD be the parallelogram.
We know,AB=CD(opposite sides of parallelogram are equal)
According to SSS congruence rule 
ΔABC congruent to ΔDCB
So, angle ABC= angle DCB (CPCT)
angle ABC+angle DCB=180(co-interior angles)
2*(angle ABC)=180(ABC+DCB)
angle ABC=90
So ABCD is a rectangle.
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