Question

Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 5 cm, CD = 4.6 cm, $\angle B={125}^{c}ircand\angle C={60}^{\circ }$.

Answer 1

Steps of Construction :

(i) Draw a line segment BC = 5 cm.

(ii) At B, draw a ray BX making an angle of ${125}^{\circ }$ and cut off BA = 3.5 cm.

(iii) At C, draw a ray CY making an angle of ${60}^{\circ }$ and cut off CD = 4.6 cm.

(iv) Join AD

ABCD is the required quadrilateral.