Question

can quadrilateral pqrs be a parallelogram the following cases 1)if angle P + Q = 180 degree 2) if PQ = RS = 6 cm and PR = QR = 4 cm​

Answer 1

Answer:

Yes, it can parallelogram. As we know that opposite sides of parallelogram is equal and sum of its adjacent angles be 180 degrees. But we can not claim it to be a parallelogram because to be sure it's a parallelogram it's opposite sides must be parallel to each other.

Answer 2

yes

Step-by-step explanation:

PQRS is a parallelogram

we know that

The opposite sides of a parallelogram are of equal length

i.e.  PQ = RS = 6 cm and PR = QR = 4 cm​

if P + Q = 180 degree

that means the lines PQ and RS are parallel to each other 'and line PR and QR are parallel to each other

thus we can say that quadrilateral PQRS is a parallelogram

because in a paralellogram :  The opposite sides of a parallelogram are of equal length and parallel

sum of the opposite or consecutive angles are supplementary

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