Question

Construct a quadrilateral ABCD given BC=6.6 cm, CD=4.4 cm, AD=5.6 cm, and $\angle D={100}^{\circ }$ and $\angle C={95}^{\circ }$.

Answer 1

(i) Draw a line segment CD=4.4 cm.

(ii) At C, draw a ray CX making an angle of ${95}^{\circ }$ and cut off CB=6.6 cm
(iii) At D,draw another ray DY making an angle of ${100}^{\circ }$ and cut off DA=5.6 cm.
(iv) Join AB.
Then ABCD is the required quadrilateral.