Question

In the given figure, lines $l$ and $m$ are cut by two transversals $n$ and $p$. Check whether line $l$ is parallel to line $m$ or not.

Answer 1

For line $l$ to be parallel to line $m$, the alternate angles has to be equal.
That is, ${80}^{\circ }$ should be equal to its alternate interior angle, $({38}^{\circ }$ + ${42}^{\circ })$

${80}^{\circ }={38}^{\circ }+{42}^{\circ }$
${80}^{\circ }={80}^{\circ }$
Hence, line $l$ is parallel to line $m$.