Transversal and Parallel Lines

For line $l$ to be parallel to $m$, which of the angles should be necessarily true?

In the given figure, if $l\parallel m$, then the value of $x$ is:

In the given figure, if $p\parallel q$ then the value of $x$ is:

If a transversal is perpendicular to one of the two parallel lines, then the angle made by the transversal with the other line is:

The angle which forms an alternate interior pair with angle $\text{'}x\text{'}$ as shown in the given figure is:

In the given figure, $AB\parallel CD$, $\angle BAO=112°$ and $\angle OCD=118°$. Find $\angle AOC$.

In the given figure, show that $AB\parallel EF$.

Given $l\parallel m$, find the value of the unknown angles in the following figure.

Given $l\parallel m$, find the value of the unknown angles in the following figure.

Given $l\parallel m$, find the value of the unknown angles in the following figure.

In the given figure, $l\parallel m$ and $p\parallel q$. Find the measure of angles $\angle 1, \angle 2, \angle 3$ and $\angle 4$.

In the given figure, $l\parallel m$ and $p$ is the transversal. If $\angle 1$ and $\angle 2$ are in the ratio $1:2$, find the measure of each of these angles.

In the given figure, $l\parallel m$ and $p$ is the transversal. If $\angle 3=55°$, find the measure of all the other angles.