Construct a quadrilateral ABCD where AB = 4.2cm, BC = 3.6 cm, CD = 4.8 cm, ∠B = 30° and ∠C = 150°.
Steps of construction:
Step I: Draw BC = 3.6 cm.
Step II: Construct ∠ABC = 30°.
Step III: With B as the center and radius 4.2 cm, cut off BA = 4.2 cm.
Step IV: Construct ∠BCD = 150°.
Step V: With C as the center and radius 4.8 cm, cut off CD = 4.8 cm.
Step VI: Join AD.
The quadrilateral so obtained is the required quadrilateral.