If two adjacent angles of a parallelogram are $(5x-5)°$ and $(10x+35)°$, then the ratio of these angles is 

The angles of a quadrilateral are in the ratio $1:2:3:4$.The smallest angle is

Match the columns:

Column I (Parallelogram)	Column II (Values of $x$ and $y$)
a.	(i) $$\begin{gathered} x=10 \\ y=6 \end{gathered}$$
b.	(ii) $$\begin{gathered} x=4 \\ y=3 \end{gathered}$$
c.	(iii) $$\begin{gathered} x=60° \\ y=120° \end{gathered}$$
d.	(iv) $$\begin{gathered} x=100° \\ y=80° \end{gathered}$$

The value of $x$ in the given trapezium $PQRS$ where $PQ\left|\right|RS,$is $K°$. Find the value of $K$.

Find the value of $x$ in the given parallelogram.

The adjacent sides of a rectangle differ by $30 \mathrm{cm}$. If its perimeter is $180 \mathrm{cm}$, then its sides.

The diagonals of a rhombus $ABCD$ intersect at $O$. If $AC=8 \mathrm{cm}$ and $BD=6 \mathrm{cm}$. Find the length of its sides.

In a rectangle $PQRS$, $\angle OPQ=38°$. Find $\angle RSQ$, where $O$ is the intersection point of diagonals.

In a square $ABCD$, $AB=(5a-17) \mathrm{cm}$ and $BC=(2a-4) \mathrm{cm}$. Find the length of $AD$ and $AC$.