Question

Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, $\angle$ABC = ${40}^{\circ }$ and $\angle$ BCD = ${55}^{\circ }$?

Answer 1

Step 1: Draw AB = 5cm.

Step 2: At B, draw an angle of ${45}^{\circ }$ and mark 6cm along that angle. Mark the point as C.

Step 3: At C, draw an angle of ${55}^{\circ }$ and mark 7cm along that angle. Mark the point as D.

Step 4: Join point A and D. So, quadrilateral ABCD can be constructed.

So, it is possible to construct a unique quadrilateral