Question

Construct a quadrilateral ABCD, in which ∠B = 70°, ∠A = 54°, ∠D = 105°, AB = 6.2 cm. and AD = 5.7 cm.

Answer 1

First of all we draw a rough sketch of given measurements :

Steps of Construction

(i) First of all draw a line segment AB = 6.2 cm.

(ii) From A, a ray AX is drawn making an angle of 54° with line segment AB, cut an arc of 5.7 cm on AX and marked the point as D.

(iii) From point D, making an angle of 105° a ray DZ is drawn.

(iv) From point B, a ray BY is drawn, making an angle of 70° with cut ray DZ at point C.

(v) Thus, ABCD is a required quadrilateral.