Construct a quadrilateral ABCD given that AB - 4 cm- BC - 3 cm- ang-A - 75 deg- ang-B - 80 deg- and ang-C - 120 deg-

Steps #160;of #160;construction:Step #160;I: #160;Draw #160;AB=4 #160;cm.Step #160;II: #160;Construct #160; #8736;XAB=75 #176; #160;at ...

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Standard VIII

Mathematics

Construction of Quadrilaterals.

Construct a q...

Question

Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.

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Solution

$Steps of construction : Step I : Draw AB = 4 cm . Step II : Construct ∠ XAB = 75 ° at A and ∠ ABY = 80 ° at B . Step III : With B as the centre and radius 3 cm, cut off BC = 3 cm . Step IV : At C, draw ∠ BCZ = 120 ° such that it meets AX at D . The quadrilateral so obtained is the required quadrilateral .$

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Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, $∠ A = 75^{\circ}, ∠ B = 80^{\circ}$ and $∠ C = 120^{\circ}$ .

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Given below are the steps for the construction of a quadrilateral ABCD, where AB = 3.5 cm, BC = 6.5 cm, $∠ A = 75^{\circ}, ∠ B = 105^{\circ}$ and $∠ C = 120^{\circ}$ . Which of the following is wrong?
1:- Draw AB = 3.5 cm.
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Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.

Steps of construction:Step I: Draw AB=4 cm.Step II: Construct ∠XAB=75° at A and ∠ABY=80° at B.Step III: With B as the centre and radius 3 cm, cut off BC=3 cm.Step IV: At C, draw ∠BCZ=120° such that it meets AX at D. The quadrilateral so obtained is the required quadrilateral.