Question
Construct a quadrilateral ABCD, where AB = 4.2cm, BC = 3.6cm, CD = 4.8cm, $\angle\text{B}=30^\circ$ and $\angle\text{C}=150^\circ.$

Answer


Steps of construction:
Step I: Draw BC = 3.6cm.
Step II: Construct $\angle\text{ABC}=30^\circ$ at B.
Step III: With B as the centre and radius 4.2cm, cut off BA = 4.2cm.
Step IV: Construct $\angle\text{BCD}=150^\circ$ at C.
Step V: With C as the centre and radius 4.8cm, cut off CD = 4.8cm.
Step VI: Join AD.
The quadrilateral so obtained is the required quadrilateral.

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