Question
Construct a quadrilateral $\text{ABCD}\ ;$ if : $AB = 8 \ cm, BC = 5.4 \ cm, AD = 6 \ cm, \angle A = 60^\circ$ and $\angle B = 75^\circ$ .

Answer

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 $\angle PAB = 60^\circ$ and cut $DA = 6 \ cm$.
  3. At $B$, draw $\angle QBA = 75^\circ$ and cut $BC = 5.4 \ cm$.
  4. Join $DC$.
    Thus $\text{ABCD}$ is the required quadrilateral.

 

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