Question
Construct a quadrilateral PQRS, in which PQ = 3.5cm, QR = 2.5cm, RS = 4.1cm, $\angle\text{Q}=75^\circ$ and $\angle\text{R}=120^\circ.$
✓
Answer
Steps of construction:Step I: Draw QR = 2.5cm.
Step II: Construct $\angle\text{PQr}=75^\circ$ at Q.
Step III: With Q as the centre and radius 3.5cm, cut off QP = 3.5cm.
Step IV: Construct $\angle\text{QRS}=120^\circ$ at R.
Step V: With R as the centre and radius 4.1cm, cut off RS = 4.1cm.
Step VI: Join PS.
The quadrilateral so obtained is the required quadrilateral.
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