Question

Construct a quadrilateral ABCD; if:

AB = 8 cm, BC = 5.4 cm, AD = 6 cm, ∠A = 60° and ∠B = 75°.

Answer 1

The rough figure is as follow :

The actual quadrilateral is constructed with the help of the above rough figure.

Steps :

1. Draw AB = 8 cm.
2. At A, draw ∠PAB = 60° and cut DA = 6 cm.
3. At B, draw ∠QBA = 75° and cut BC = 5.4 cm.
4. Join DC.
   Thus ABCD is the required quadrilateral.