Question

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

• A. $\angle P={100}^{\circ },\angle Q={80}^{\circ },\angle R={100}^{\circ }$
• B. $\angle P={85}^{\circ },\angle Q={85}^{\circ },\angle R={95}^{\circ }$
• C. PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm
• D. OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm

Answer 1

The correct option is A

$\angle P={100}^{\circ },\angle Q={80}^{\circ },\angle R={100}^{\circ }$

PQRS is a quadrilateral, PR and QS intersect each other at O. PQRS is a parallelogram if

$\angle P={100}^{\circ },\angle Q={80}^{\circ },\angle R={100}^{\circ }$