Question

In quadrilateral PQRS, mRQS =25 and PS=QR. What measure of PSQ would confirm that PQRS is a parallelogram?

Answer 1

If m∠PSQ=25, then PQRS is a parallelogram.

In a quadrilateral, if opposite angles are equal, then the quadrilateral is a parallelogram.

In quadrilateral PQRS, if m∠RQS = m∠PSQ, then the opposite angles are equal, and PQRS is a parallelogram.

Given that m∠RQS=25 and PS = QR, you can use the fact that opposite angles in a parallelogram are equal.

Therefore, m∠PSQ should also be equal to m∠RQS, which is 25.

So, if m∠PSQ=25, then PQRS is a parallelogram.