In the given figure PQ ∥ XY. Also, y : z = 4 : 5 finds.

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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 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 $y$.

In Figure, $DE\parallel BC$. Find the values of $x$ and $y$.

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, $l\parallel m$. If $s$ and $t$ be transversals such that $s$ is not parallel to $t$. Find the values of $x$ and $y$.

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, $AB\parallel CD$ and a transversal $EF$ cuts them at $G$ and $H$ respectively.
If $GL$ and $HM$ are the bisectors of the alternate angles $\angle AGH$and $\angle GHD$ respectively, prove that $GL\parallel HM$.

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 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 $AO\parallel CD$, $OB\parallel CE$, and $\angle AOB=50°$. Find the measure of $\angle ECD$

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

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 given figure, $AB\parallel CD$, $\angle ABE=120°$, $\angle ECD=100°$, and $\angle BEC=x°$.
Find the value of $x$.