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