Parallel Lines and a Transversal

In the given diagram, $AB\parallel CD$ and $BC\parallel ED$. Then find the value of $x$.

In the given diagram, $AB\parallel CD$. Prove that$p+q-\mathrm{r}=180$

Define a Transversal Line. In adjoining figure $l\parallel m$ is cut by the transversal $t$. If $\angle 2=70°$, find the measure of $\angle 8$.

Define a Transversal Line. In adjoining figure $l\parallel m$ is cut by the transversal $t$. If $\angle 1=70°$, find the measure of $\angle 7$.

Define a Transversal Line. In adjoining figure $l\parallel m$ is cut by the transversal $t$. If $\angle 1=70°$, find the measure of $\angle 3,$ and $\angle 5$.

In the given figure, $\mathrm{BAD}\parallel \mathrm{EF}, \angle \mathrm{AEF}=55°$ and $\angle \mathrm{ACB}=25°$. If $\angle \mathrm{ABC}=\mathrm{k}°$, then find the value of $\mathrm{k}$.

Given:

Write the reasons for the following statement.

$\angle 1=\angle 5$

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

Find the angles which are equals to $\angle P$.

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

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

If in the figure $a\parallel b$ and $c\parallel d$, then name the angles that are congruent to $\angle 2$.

If in the figure $a\parallel b$ and $c\parallel d$, then name the angles that are congruent to $\angle 1$.

Find the value of $a$ and $b$, given that $p\parallel q$ and $r\parallel s$.

In the given figure $m\parallel n$, $A, B$ are any two points on $m$ and $n$ respectively. Let $C$ be an interior point between the lines $m$ and $n$. Find $\angle ACB$.

In the given figure $PQ\parallel ST$, $\angle PQR=110°$ and $\angle RST=130°$, find $\angle QRS$ in degree $\left(°\right)$.

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

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

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

If the measure of angle $s°=k°$ indicated in the given figure where $l, m$ are parallel lines intersected by a transversal $n$ then find $k$.