1.

\[PQRS\]is a quadrilateral. \[PR\] and \[QS\] intersect each other at\[O\], In which of the following cases is PQRS a parallelogram?

A. \[\angle P={{100}^{o}},\,\,\angle Q={{80}^{o}},\,\,\angle R={{100}^{o}}\]
B.        \[\angle P={{85}^{o}},\,\,\angle Q={{85}^{o}},\,\,\angle R={{95}^{o}}\]
C.        \[PQ=7\,\,cm,\,\,QR=7\,\,cm,\,\,RS=8\,\,cm,\]\[OS=5.2\,\,cm\]
D.         \[OP=6.5\,\,cm,\,\,OQ=6.5\,\,cm,\,\,OR=5.2\,\,cm,\] \[OS=5.2\,\,cm\]
Answer» B.        \[\angle P={{85}^{o}},\,\,\angle Q={{85}^{o}},\,\,\angle R={{95}^{o}}\]


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