Question

pqrs is a parallelogram the angle bisector of Angle P and angle S is meet at an angle POS is 45 degree 90 degree 60 degree or none of these​

Answer 1

Answer:

90°

Step-by-step explanation:

Diagonals are perpendicular

Answer 2

The diagram is given here

Answer:

90°

Step-by-step explanation:

PQRS is a parallelogram.

PO is angle bisector of ∠P

∴ ∠SPO=∠OPQ --- ( 1 )

QO is an angle bisector of ∠Q

∴ ∠RQO=∠OQP ---- ( 2 )

∴ PS∥QR

⇒ ∠SPQ+∠PQR=180 [ Sum of adjacent angles are supplementary ]

⇒ ∠SPO+∠OPQ+∠OQP+∠OQR=180

⇒ 2∠OPQ+2∠OQP=180 [ From ( 1 ) and ( 2 ) ]

⇒ ∠OPQ+∠OQP=90 ---- ( 3 )

Now, in △POQ,

⇒ ∠OPQ+∠OQP+∠POQ=180

⇒ 90+∠POQ=180 [ From ( 3 ) ]

⇒ ∠POQ=90 .

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