Question

PQRS is a quadrilateral whose diagonal intersect at O the option which will makePQRS
a) angle P+angle Q=180°
b) angle P=80° and angle R= 100°
c) PQ=6.5cm,RS=6cm and RQ=6.5cm
d) PO=OR=3cm and SO=OQ=4cm​

Answer 1

Answer:

The opposite sides of a parallelogram are

parallel.

∴ PQ∥SR and QS is transversal.

∴ ∠SQR =∠PSQ

since,the interior alternate angles are equal.

∴ ∠PSR =∠PSQ + ∠QSR =∠SQR +∠QSR =30

∘

+25

∘

=55

∘