Question

George wanted to construct a parallelogram ABCD with sides AB = 5 cm, BC = 4 cm, CD = 5 cm, $\angle B={40}^{\circ }$ and $\angle C={120}^{\circ }$. He can construct a parallelogram with the following measure requirement provided . State whether the statement is True or False .

• A. Yes, of course
• B. With ADC, yes

Answer 1

The correct option is B

With ADC, yes

For a parallelogram, adjacent angles are supplementary.
$\angle B+\angle C={40}^{\circ }+{120}^{\circ }={160}^{\circ }$
Hence, the resultant quadrilateral will not be a parallelogram.