Construct a quadrilateral ABCD, in which AB = BC = 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.
Steps of construction:
Step I: Draw AB = 3 cm .
Step II: Construct ∠DAB = 90° at A .
Step III : With A as the centre and radius 5 cm, cut off AD = 5 cm .
Step IV: Construct ∠ABC = 105° at B .
Step V : With B as the centre and radius 3 cm, cut off BC = 3 cm .
Step VI: Join CD .
The quadrilateral so obtained is the required quadrilateral .