Question
In figure, state Which lines are parallel and why.
✓
Answer
Vertically opposite angles are equal
$\Rightarrow\ \angle\text{EOC}=\angle\text{DOK}=100^\circ$
$\Rightarrow\ \angle\text{DOK}=\angle\text{ACO}=100^\circ$
Here two lines $EK$ and $CA$ cut by a third line and the corresponding angles to it are equal Therefore, $EK\ ||\ AC$.
$\Rightarrow\ \angle\text{EOC}=\angle\text{DOK}=100^\circ$
$\Rightarrow\ \angle\text{DOK}=\angle\text{ACO}=100^\circ$
Here two lines $EK$ and $CA$ cut by a third line and the corresponding angles to it are equal Therefore, $EK\ ||\ AC$.
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