Question

Can a quadrilateral $ABCD$ be a parallelogram if
(i) $\angle D+\angle B={180}^{\circ }$?

(ii) $AB=DC=8$ cm, $AD=4$ cm and $BC=4.4$ cm?

(iii) $\angle A={70}^{\circ }$ and $\angle C={65}^{\circ }$?

Answer 1

(i) $\angle D+\angle B={180}^{\circ }$
It may or may not be possible. the sum of measure of adjacent angles should be ${180}^{\circ }$.

(ii) $AB=DC=8$ cm, $AD=4$ cm and $BC=4.4$ cm
No, opposite sides are of different lengths.

(iii) $\angle A={70}^{\circ }$ and $\angle C={65}^{\circ }$
No, opposite angles should be equal.