Question

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

Answer 1

Steps : 1 Mark
Construction : 1 Mark

Steps of Construction:
1. Draw a line segment AB = 5.1 cm
2. At A , construct $\angle XAB={60}^{\circ }$ and from AX cut an arc of radius 4 cm. i.e., AD = 4cm
3. At B, construct $\angle YBA={85}^{\circ }$ 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.