Construct a quadrilateral ABCD, in which AB = BC = 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.

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Solution

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

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