Question

Construct a quadrilateral PQRS, in which PQ=3.5 cm,QR=2.5 cm, RS=4.1 cm,$\angle Q={75}^{\circ }$ and $\angle R={120}^{\circ }$.

Answer 1

(i) Draw a line segment QR=2.5 cm.

(ii) At Q, draw a ray QX making an angle of ${75}^{\circ }$ and cut off QP=3.5 cm.
(iii) At R, draw another ray RY making an angle of ${120}^{\circ }$ and cut off RS=4.1 cm.
(iv) Join PS.
Then PQRS is the required quadrilateral.