Question

Construct a quadrilateral PQRS, in which PQ = 3.5 cm, QR = 2.5 cm, RS = 4.1 cm, ∠Q = 75° and ∠R = 120°.

Answer 1

Steps of construction:
Step I: Draw QR=2.5 cm.
Step II: Construct ∠PQR=75° at Q.
Step III : With Q as the centre and radius 3.5 cm, cut off QP=3.5 cm.
Step IV: Construct ∠QRS=120° at R.
Step V :With R as the centre and radius 4.1 cm, cut off RS=4.1 cm.
Step VI: Join PS, The quadrilateral so obtained is the required quadrilateral.