Construct a quadrilateral ABCD given AB = 5.1 cm, AD = 4 cm, BC = 2.5 cm, $∠ A = 60^{\circ}$ and $∠ B = 85^{\circ}$ [2 MARKS]

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Solution

Steps : 1 Mark
Construction : 1 Mark

Steps of Construction:
1. Draw a line segment AB = 5.1 cm
2. At A , construct $∠ X A B = 60^{\circ}$ and from AX cut an arc of radius 4 cm. i.e., AD = 4cm
3. At B, construct $∠ Y B A = 85^{\circ}$ and from BY cut an arc of radius 2.5 cm. i.e., BC = 2.5 cm
4. Join CD
5. ABCD is the required quadrilateral.

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