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