Question

Find the value of x and y from the given figure if lines l and m are parallel and are cut by two transversals n and p.

Answer 1

Here, lines $l$ and $m$ are parallel and line $p$ is transversal.

Therefore, $x+{66}^o={180}^o$ (angles on the same side of transversal are supplementary).

=> $x={180}^o-{66}^o$

=> $x={114}^o$

Now, lines $l$ and $m$ are parallel and line $n$ is transversal.

Therefore, $y+{48}^o={180}^o$ (angles on the same side of transversal are supplementary).

=> $y={180}^o-{48}^o$

=> $y={132}^o$