If PQRS is a parallelogram, the value of 'x' is

The correct answer is Option (4) → 25

In a parallelogram, opposite sides are parallel, so PS is parallel to QR. The line PQ, extended beyond Q, cuts both of them, and the angle it makes with PS at P is a corresponding angle of the 70° it makes with QR at Q.

• \(\angle SPQ=70^\circ\) (corresponding to the 70° at Q)

• The diagonal PR splits \(\angle SPQ\) into 45° and \(x^\circ\): \(45+x=70\)

• \(x=25\)