Question

PQRS is a parallelogram and side RS is smaller than side QR. Then the relation between $\angle 1$ and $\angle 2$ is ___ .

• A. $\angle 1<\angle 2$
• B. $\angle 1>\angle 2$
• C. $\angle 1=\angle 2$
• D. None

Answer 1

The correct option is B $\angle 1>\angle 2$

$\angle 1=\angle RSQ$ ....alternate angles

In $△RSQ$,

$RS<QR$ ...given

$\therefore \angle 2<\angle RSQ$ ....angle opp to shorter side is smaller

i.e. $\therefore \angle 2<\angle 1$