Sum

Construct a quadrilateral ABCD; if:

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

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#### Solution

The rough figure is as follow :

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

Steps :

- Draw AB = 8 cm.
- At A, draw ∠PAB = 60° and cut DA = 6 cm.
- At B, draw ∠QBA = 75° and cut BC = 5.4 cm.
- Join DC.

Thus ABCD is the required quadrilateral.

Concept: Constructing a Quadrilateral

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