Q.6 In the given figure below, decide whether l is parallel to m.

(i) Sum of interior angles on the same side of transversal
= 126° + 44° = 170° \(\neq \)180°

\(\therefore \) l is not parallel to m.

(ii) Let angle opposite to 75° be x.

x = 75° [Vertically opposite angles]

\(\therefore \) Sum of interior angles on the same side of transversal

= x + 75° = 75° + 75°

= 150° \(\neq \) 180°

\(\therefore \) l is not parallel to m.

(iii) Let the angle opposite to 57° be y.

\(\therefore \) \(\angle \)y = 57° (Vertically opposite angles)

\(\therefore \) Sum of interior angles on the same side of transversal

= 57° + 123° = 180°

\(\therefore \) l is parallel to m.

(iv) Let angle opposite to 72° be z.

\(\therefore \)z = 70° (Vertically opposite angle)

[Sum of interior angles on the same side of transversal]

= z + 98° = 72° + 98°= 170° \(\neq \) 180°

\(\therefore \) l is not parallel to m.