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 \[\angle B\text{ }=\text{ }85{}^\circ .\]

Answer:

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.