Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, ∠ABC= 40∘ and ∠BCD= 55∘?
Yes, it is possible
Step 1: Draw AB = 5cm.
Step 2: At B, draw an angle of 45∘ and mark 6 cm along that angle. Mark the point as C.
Step 3: At C, draw an angle of 55∘ and mark 7cm along that angle. Mark the point as D.
Step 4: Join points A and D. So, quadrilateral ABCD can be constructed.