• # question_answer Construct a quadrilateral ABCD, given AB = 5-1 cm, AD = 4 cm, BC = 2.5 cm, $\angle A\text{ }=\text{ }60{}^\circ$and $\angle B\text{ }=\text{ }85{}^\circ .$

 Steps of Construction: (a) Draw AB = 5-1 cm. (b) Construct $\angle XAB\text{ }=\text{ }60{}^\circ$at A. (c) With A as centre and radius AD = 4 cm, cut off AD = 4 cm along AX. (d) Construct $\angle ABY\text{ }=\text{ }85{}^\circ$at B. (e) With B as centre and radius BC = 2.5 cm cut off BC = 2.5 cm along BY. (f) Join CD. Thus, ABCD is the required quadrilateral.