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Question

Construct a quadrilateral ABCD, where AB = 5.5 cm, BC = 3.7 cm, ∠A = 60°, ∠B = 105° and ∠D = 90°.

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Solution

We know that the sum of all the angles in a quadrilateral is 360.i.e., A+B+C+D=360°C=105°Steps of construction:Step I: Draw AB=5.5 cm.Step II: Construct XAB=60° at A and ABY=105°.Step III: With B as the centre and radius 3.7 cm, cut off BC=3.7 cm.Step IV: At C, draw BCZ=105° such that it meets AX at D.The quadrilateral so obtained is the required quadrilateral.



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