Question

Is it possible to construct a unique quadrilateral ABCD with AB = 3.6 cm, BC = 4 cm, AD= 5 cm, $\angle$ABC = ${80}^{\circ }$ and $\angle$ BAD = ${120}^{\circ }$?

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

Answer 1

The correct option is A

Yes, it is possible

Step 1: Draw AB = 3.6 cm.

Step 2: At B, draw an angle of ${80}^{\circ }$ and mark 4 cm along that angle. Mark the point as C.

Step 3: At A, draw an angle of ${120}^{\circ }$ and mark 5 cm along that angle. Mark the point as D.

Step 4: Join points C and D. So, quadrilateral ABCD can be constructed.