Question

In the given figure, find whether $l$ is parallel to m.

Answer 1

Let us assume ∠x be the angle formed due to the intersection of the Straight line l and transversal line n,



We know that Linear pair is the sum of adjacent angles is equal to ${180}^{\circ }$
$\angle x+{98}^{\circ }={180}^{\circ }\angle x={180}^{\circ }-{98}^{\circ }\angle x={82}^{\circ }$
Now, we consider $\angle xand{72}^{\circ }$ are the corresponding angles.
For l and m to be parallel to each other, corresponding angles should be equal.
But, in the given figure corresponding angles measures ${82}^{\circ }and{72}^{\circ }$ respectively.
$\therefore$ Line l is not parallel to line m.