Parallel Lines and a Transversal

DE is a tangent to the circumcircle of$△ABC$ at the vertex A such that DE$\parallel$BC. If AB = $17 cm$, then the length of AC is equal to -

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 $\mathrm{k}$.

In the given figure, $l \parallel \mathrm{m}$ and $n$ is a transversal. If $\angle 1=\left(5x+25\right)°$ and $\angle 2=\left(15x-35\right)°$, then find the value of $x$.

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 $\mathrm{k}$.

The measures of $a$ and $b$ are:

In the following figure, if $\mathrm{AB}\parallel \mathrm{CD}\parallel \mathrm{EF}$, then $\mathrm{PQ}\parallel \mathrm{RS}, \angle \mathrm{CQP}=60°$ and $\mathrm{RQD}=25°,$ then reflex $\angle \mathrm{QRS}$ is equal: