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ABCD is a parallelogram
The adjacent angles of a parallelogram sum up to give 180
∘
i.e.,∠B+∠C=180
∘
2
∠B
+
2
∠C
=90
From ΔOBC⟹∠O=90
∘
⟹∠POR=90
∘
Similarly, all the 4 vetrices have right angles at their corners
Hence PQRS is rectangle.
Step-by-step explanation:
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