Question

In the given figures below, decide whether $l$ is parallel to $m$.

Answer 1

Determining whether $\mathit{l}$ is parallel to $\mathit{m}$ or not

Use the sum of interior angle property to verify parallelism of the given lines

Given: Lines $l$ and $m$

Sum of interior angles is equal to $180°$when two lines are parallel.

$x=75°$ (vertically opposite angles)

$\Rightarrow$$75°+75°=150°$

Since, $75°+75°\ne 180°$. So, $l$ is not parallel to $m$.

Hence, $l$ is not parallel to $m$