In the adjacent figure,$AB\parallel CD$, '$t$' is a transversal intersecting $E$and $F$respectively. If $\angle 2:\angle 1=5:4$, find the measure of each marked angles.

The wheels of a car are of diameter $80 \mathrm{c}\mathrm{m}$ each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of $66 \mathrm{k}\mathrm{m}$ per hour? $\left(\mathrm{use} \pi =\frac{22}{7}\right)$

Only one circle can be drawn through three non collinear points.

In the given figure, $AB\parallel CD, \angle ABO=40°$ and $\angle CDO=35°$. Then the value of $x$ will be

In the figure given below, $\mathrm{AB}\parallel \mathrm{CD}$. Find the value of $\mathrm{x}$ in the following case.

Prove that, if a line is perpendicular to one of the two parallel lines, then it is perpendicular to the other line.

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

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

In figure, line DE $\parallel$ line GF ray EG and ray FG are bisectors of $\angle DEF$ and $\angle DFM$ respectively.

Prove that, $\angle DEG=\frac{1}{2}\angle EDF$

For what value of $x$ will lines $p$ and $q$ be parallel to each other?

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

In the given figure, if $l\parallel m$, then values of $x$ and $y$ are

In figure, sides of $\angle PQR$ and $\angle XYZ$ are parallel to each other. Prove that, $\angle PQR\cong \angle XYZ$.

In the figure, $y=108°$ and $x=71°$ . Are the lines $m$ and $n$ parallel? Justify?