What is the maximum exterior angle possible for a regular polygon?

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram if $\angle \mathrm{D}+\angle \mathrm{B}=180°$?

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram if $\mathrm{AB}=\mathrm{CD}=8 \mathrm{cm}$, $\mathrm{AD}=4 \mathrm{cm}$ and $\mathrm{BC}=4.4 \mathrm{cm}$ ?

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram if $\angle \mathrm{A}=70°$ and $\angle \mathrm{C}=65°$?

The adjacent figure $\mathrm{HOPE}$ is a parallelogram. Find the angle measures $x,y$ and $z$. State the properties you use to find them.

$\mathrm{ABC}$ is a right - angled triangle and $\mathrm{O}$ is the mid point of the side opposite to the right angle. Explain why $\mathrm{O}$ is euqidistant from $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$. (The dotted lines are drawn additionally to help you).

Which of the following figures do not satisfy any of the following properties?

All sides are equal.

Which of the following figures do not satisfy any of the following properties?

All angle are right angles.

Which of the following figures do not satisfy any of the following properties?

Opposite sides are parallel.