Draw two lines of different lengths as say $5 \mathrm{cm}$ and $7 \mathrm{cm}$ each which bisect each other. Join the endpoints. What figure do you get?

$PQRS$is a trapezium, $PQ\parallel SR. \angle P=\angle Q=50°$. Prove $PS=QR$.

$PQRS$ is a trapezium, $PQ\parallel SR$ and $\angle P=\angle Q=50°$. If $\angle S=R=k°$, find the value of $k$?

$O$ is a point in the interior of $\angle BAC$. $OB$ and $OC$ are perpendiculars from $O$ to $AB$ and $AC$. $\angle A=65°$. What is $\angle BOC$?

$ABCD$ is a parallelogram with $\angle A=50°$. Find $\angle B , \angle C, \angle D$.

$ABCD$ is a parallelogram. The adjacent angles are in the ratio $2:1$. State all the angles.