Question
Construct a quadrilateral $ABCD$, in which $AB = 6\ cm, BC = 4\ cm, CD = 4\ cm$, $\angle\text{B}=95^\circ$ and $\angle\text{C}=90^\circ.$
✓
Answer
Steps of construction:
Step $I$: Draw $BC = 4\ cm$.
Step $II$: Construct $\angle\text{ABC}=95^\circ$ at $B$.
Step $III$: With $B$ as the centre and radius $6\ cm$, cut off $BA = 6\ cm$.
Step $IV$: Construct $\angle\text{BCD}=90^\circ$ at $C$.
Step $V$: With $C$ as the centre and radius $4\ cm$, cut off $BA = 4\ cm$.
Step $VI$: Join $CD$.
The quadrilateral so obtained is the required quadrilateral.
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