Question

State whether the following statement is True or False
We can construct a quadrilateral $ABCD$, if AB=$3.6$cm $\angle ABD$=${80}^o$,$BC=4$cm,$\angle BAD={120}^o$

• A. True
• B. False

Answer 1

The correct option is B False

In the quadrilateral$ABCD,ABD$ is a triangle where BD is the diagonal of $ABCD$, so the sum of angles in $△ABD={180}^{\circ }$

But we have $\angle ABD+\angle BAD={200}^{\circ }>{180}^{\circ }$ Which is not possible to construct.