Properties of a Rectangle

In the following figure, $ABCD$ is a rectangle. The bisector of $\angle B$ meets side $CD$ at $E$ such that $BC=EC$. Find the measure of $\angle BED$ and $\angle EBA$.

The diagonals of a rectangle $ABCD$ intersect at $O$. If $\angle BOC = 44°$, find the measure of $\angle OAB$.

Find the lengths of the diagonals of a rectangle if the adjacent sides of a rectangle are $8 cm \text{and} 6 cm$ respectively.

In rectangle $\mathrm{ABCD}$ diagonals meets at $\mathrm{O}$. If $\mathrm{AC}=18 \mathrm{cm}$ and $\mathrm{BD}=2\mathrm{X}-10$, then find the value of $\mathrm{x}$.

The diagonals of a rectangle $\mathrm{PQRS}$ meets at $\mathrm{O}$. If $\angle \mathrm{ROQ}=50°$ and $\angle \mathrm{OQR}=70°$, then find the measure of $\angle \mathrm{PSO}$.

If one angle of a parallelogram is a right angle, then it is called a _____.