Angles Made by Two Straight Lines and a Transverse Line

The external bisector of $\angle \mathrm{ABC}$ in $△\mathrm{ABC}$ intersects the straight line through A and parallel to $\mathrm{BC}$ at the point D. If $\angle \mathrm{ABC} =50°$  then measure of $\angle \mathrm{ADB}$ is equal to_______.

Find the size of each angle marked.

In the given figure, $AB\parallel CD$. Find the value of $x$.

In the figure below, identify the pairs of exterior angles of the transversal.

Write all the exterior angles of transversal from the figure given below

Write all the exterior angles of transversal from the figure given below

Classify the angles in the given figure.

If $\angle 1=60°$, then find $\angle 2$.

Classify the angles in the given figure.

Given:

Write the reasons for the following statement.

$\angle 1+\angle 8=180°$

If $l\parallel m$, then solve for $x$.

If in the figure the arrow head segments are parallel then find the value of $x$ and $y$.

In the following figure $\mathrm{AB}\left|\right|\mathrm{CD}$. Find the value of $x$.

In figure below, $l,m$and $n$ are parallel lines intersected by a transversal $p$ at $X,Y$ and $Z$ respectively. Find $\angle 1, \angle 2$ and $\angle 3$. Give reasons.

In figure below, $m\parallel n$ and angles $1$ and $2$ are in the ratio $3:2$. Determine all the angles from $1$ to $8$.

In figure below, if $AB\parallel CD, CD\parallel EF$ and $y:z=3:7$, find $x$. [Write the answer in $\left(°\right)$ degrees.]

In figure below, find the values of $x$ and $y$ and then show that $AB\parallel CD$.

In figure below, $m\parallel n$ and $\angle 1=65°$. Find $\angle 5$ and $\angle 8$.

If one of the angles of a pair of alternate angles is $127°$, then the other angle is $120°$.

In the given figure,line $l$ is parallel to $m$ $\left(l\parallel m\right)$