Question
Construct a quadrilateral BDEF, where DE = 4.5cm, EF = 3.5cm, FB = 6.5cm, $\angle\text{F}=50^\circ$ and $\angle\text{E}=100^\circ.$
✓
Answer
Steps of construction:Step I: Draw EF = 3.5cm.
Step II: Construct $\angle\text{DEF}=100^\circ$ at E.
Step III: With E as the centre and radius 4.5cm, cut off DE = 4.5cm.
Step IV: Construct $\angle\text{EFB}=50^\circ$ at F.
Step V: With F as the centre and radius 6.5cm, cut off FB = 6.5cm.
Step VI: Join BD.
The quadrilateral so obtained is the required quadrilateral.
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