State the property that is used in each of the following statements?
If $\mathrm{\angle }4=\mathrm{\angle }6$, then $\mathrm{a}\mathrm{}\left|\right|\mathrm{}\mathrm{b}$.

 

State the property that is used in the following statement.

If $\mathrm{\angle }4+\mathrm{\angle }5=180°$, then $a\left|\right|b$.

In the adjoining figure, if the angle corresponding to $\angle 3$ is $\angle k$, then find the value of $k$.

In the adjoining figure, identify the pairs of alternate interior angles.

In the adjoining figure, the interior angle to $\angle 5$ on the same side of the transversal is $\angle \_\_\_\_\_$.

In the adjoining figure, if the vertically opposite angle to $\angle 5$ is $\angle x$, then find the value of $x$.

In the adjoining figure, $\mathrm{p}\mathrm{}\left|\right|\mathrm{}\mathrm{q}$. Find the value of $\angle c$.{write only numerical value without degrees symbol}

Find the value of $x$ in the following figure if $l\mathrm{}\left|\right|\mathrm{}m.$ {write only numerical value without degrees symbol}

Find the value of $x$ in the following figure if $l\parallel m.$