What is the difference between a parallelogram and a kite?

Diagonals of parallelogram $ABCD$ intersect at $O$ as shown in Figure. $XY$contains $O$, and $X,Y$ are points on opposite sides of the parallelogram. Give reason for the following:

$\mathrm{O}\mathrm{B}=\mathrm{O}\mathrm{D}$

$ABCD$ is a parallelogram in which $\angle A=110°$. Find the measure of each of the angles $\angle B, \angle C$ and $\angle D$.

Given a parallelogram $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}.$ Complete the statement along with the definition or property used.

 $\mathrm{A}\mathrm{D}=$ _____________

The sum of two opposite angles of a parallelogram is $130°$. Find the measure of each of its angles.

In Figure, $BDEF$ and $DCEF$ are each a parallelogram. Is it true that $\mathrm{BD}=\mathrm{DC}$?

Why or why not?

Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles?

Write ‘T’ for true and ‘F’ for false of each of the following:

i. The diagonals of a parallelogram are equal.

ii. The diagonals of a rectangle are perpendicular to each other.

iii. The diagonals of a rhombus bisect each other at right angles.

iv. Every rhombus is a kite.

Two adjacent angles of a parallelogram are $(3x-4)°$ and $(3x+16)°$. Find the value of $x$ and hence find the measure of each of its angles.

Two adjacent angles of a parallelogram are in the ratio $4:5$. Find the measure of each of its angles.

Two adjacent angles of a parallelogram are the ratio $2:3$. Find the measure of each of its angles.