Question

Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD = 7cm , $\angle$ABC = ${45}^{\circ }$ and $\angle$BCD = ${55}^{\circ }$?

• A. Yes, it is possible
• B. No, it is impossible
• C. With the measure of a diagonal, yes​
• D. With the measure of an extra side, yes

Answer 1

The correct option is A

Yes, it is possible

Step 1: Draw AB = 5 cm

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

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

Step 4: Join point A and D.

Therefore, quadrilateral ABCD can be constructed