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. No, there can be infinite such quadrilaterals
• B. With the measure of one more side, yes
• C. Yes, it is possible
• D. No, two such quadrilaterals can be constructed

Answer 1

The correct option is C

Yes, it is possible

Step 1: Draw AB = 5cm.

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 7cm along that angle. Mark the point as D.

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