Jagat Jitendra Matto Solutions for Chapter: Understanding Quadrilaterals, Exercise 2: EXERCISE 12.2

$PQRS$ is a parallelogram and the diagonals intersect at $\mathrm{O}$. If $\mathrm{OP}=2.5 \mathrm{cm}$ and $\mathrm{OQ}=3.6 \mathrm{cm}$, find $\mathrm{OR}$ and $OS$.
 

In the given figure, $QSTW$ and $STRW$ are parallelograms. If  $\mathrm{ST}=8 \mathrm{cm}$ , find the lengths of $QW$ and $WR$. 

Find the values of  $\mathrm{x}, \mathrm{y}$ and $\mathrm{z}$ in the given parallelogram.

 In parallelogram $PQRS$, find $x, y, z$ and $w$. 

Find $x$ and $y$ from the parallelograms given below:

Find $x$ and $y$ from the parallelograms given below:

Two opposite angles of a parallelogram are $(5x- 2)°$ and $(40 - x)°.$Find the value of $x.$

Is it possible to have a quadrilateral which is not a parallelogram but has a pair of equal opposite angles? Justify your answer.