Question

In the following figure, if $\angle 1$ = $\angle 5$ and $\angle 3$ = $\angle 7$, then the lines l and m are _____.

• A. parallel to each other
• B. converging lines
• C. perpendicular to each other
• D. diverging lines

Answer 1

The correct option is A parallel to each other

Given, $\angle 1$ = $\angle 5$, $\angle 3$ = $\angle 7$
The given angles form a pair of corresponding angles and they are equal.

Hence, by converse of corresponding angles theorem, we can say that lines l and m are parallel to each other.