Question:
Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 5 cm, CD = 4.6 cm, ∠B = 125° and ∠C = 60°.
Solution:
Steps of construction:
Step 1: Draw $B C=5 \mathrm{~cm}$
Step 2: Make $\angle B=125^{\circ}$ and $\angle C=60^{\circ}$
Step 3: With $B$ as the centre, draw an arc of $3.5 \mathrm{~cm}$. Name that point as $A$.
Step 4: With $C$ as the centre, draw an arc of $4.6 \mathrm{~cm}$. Name that point as $D$.
Step 5: Join $A$ and $D$.
Then, $A B C D$ is the required quadrilateral.