The measure of two adjacent angles of a parallelogram is in the ratio $4:5.$ Find the measure of each angle of the parallelogram.

If $\angle \mathrm{A}+\angle \mathrm{C}=180°$, can a quadrilateral $\mathrm{ABCD}$ be a parallelogram? Give reasons in support of your answer.

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram, give reasons in support of your answer.

$\mathrm{AD}=\mathrm{BC}=6 \mathrm{cm}, \mathrm{AB}=5 \mathrm{cm}, \mathrm{DC}=4.5 \mathrm{cm}$

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram, give reasons in support of your answer.

$\angle \mathrm{B}=80°,\angle \mathrm{D}=70°$

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram? Give reasons in support of your answer.

$\angle \mathrm{B}+\angle \mathrm{C}=180°$

In the given figure, $\mathrm{HOPE}$ is a parallelogram. Find the measures of angles $x,y$ and $z$. State the properties used to find them.

In the given figure, $\mathrm{ROPE}$ is a parallelogram. Find the measures of angles $x,y$ and $z$. State the properties used to find them.

In the given figure, $\mathrm{TURN}$ is a parallelogram. Find the measures of $x$ and $y$ (lengths are in $\mathrm{cm}$).

In the given figure, $\mathrm{BURN}$ is a parallelogram. Find the measures of $x$ and $y$ (lengths are in $\mathrm{cm}$).