Draw a line parallel to a diagonal of a square of side $3 \mathrm{cm}$. The parallel line should pass through one of the vertices of the square, not lying on the diagonal.

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

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 Figure, line $l \left|\right| m, \angle 1 = 120°$ and $\angle 2= 100°,$ find out $\angle 3$ and $\angle 4$.

In the adjoining figure, it is given that $CE\parallel BA$, $\angle BAC=80°$ and $\angle ECD=35°$.
Find $\angle ACE$, $\angle ACB$ and $\angle ABC$.

In Figure, $ABCD$ is a parallelogram, $CE$bisects $\angle C$ and $AF$ bisects $\angle A$. If the statement is true, give a reason for the same.

$CE\left|\right|AF$

In the given figure, $l\parallel m$ and $t$ is a transversal. If $\angle 5=70°$, find the measure of each of the angles
$\angle 1$, $\angle 3$, $\angle 4$ and $\angle 8$.

In the adjoining figure, it is given that $AB\parallel CD$, $\angle ABO=50°$, $\angle CDO=40°$. Find the measure of $\angle BOD$.

In each of the given figures, two lines $l$ and $m$ are cut by a transversal $t$.
Find whether $l\parallel m$.

In the given figure, $\angle B=65°$ and $\angle C=45°$ in $∆ABC$ and $DAE\parallel BC$. If $\angle DAB=x°$ and $\angle EAC=y°$, find the values of $x$ and  $y$.

In the given figure, $AB\parallel DC$ and $AD\parallel BC$, and $AC$ is a diagonal. If $\angle BAC=35°$,$\angle CAD=40°$, $\angle ACB=x°$, and $\angle ACD=y°$, find the value of $x$ and $y$.