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