Question
Construct a quadrilateral $\text{ABCD}\ ;$ if : $AB = 5 \ cm, BC = 6.5 \ cm, CD =4.8 \ cm, \angle B = 75^\circ$ and $\angle C = 120^\circ .$

Answer

The rough figure is as shown below.

Actual construction is as follows $($using rough fig.$)$

Steps :
  1. Draw $BC = 6-5 \ cm.$
  2. Draw $\angle B = 75^\circ$ and cut $BA = 5 \ cm.$
  3. Draw $\angle C = 120^\circ$ and cut $CD = 4.8 \ cm.$
  4. Join $AD$.
    Thus $\text{ABCD}$ is the required quadrilateral.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free