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Sum

Construct a parallelogram ABCD, if :

BC = 4.5 cm, CD = 5.2 cm and ∠ADC = 75°.

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#### Solution

The rough figure is as follow :

∵ opposite sides of ||gm are equal

∴ AD = BC = 4.5 cm.

∴ Actual construction is as follow:

Steps :

- Draw CD = 5.2 cm.
- Draw ZCDP = 75°
- Cut DA = 4.5 cm.
- A drawn arc of radius 5.2 cm.
- From C, draw an arc of radius 4.5 cm which meets the first arc at B.
- Join AB and CB.

Thus ABCD is the required ||gm.

Concept: Construction of Parallelograms

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