onstruct a quadrilateral ABCD given that AB = 4 cm,


onstruct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.


Steps of construction:

Step I: Draw $\mathrm{AB}=4 \mathrm{~cm} .$

Step II : Construct $\angle \mathrm{XAB}=75^{\circ}$ at $\mathrm{A}$ and $\angle \mathrm{ABY}=80^{\circ}$ at B.

Step III : With B as the centre and radius $3 \mathrm{~cm}$, cut off BC $=3 \mathrm{~cm} .$

Step IV : At C, draw $\angle \mathrm{BCZ}=120^{\circ}$ such that it meets AX at D.

The quadrilateral so obtained is the required quadrilateral.

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