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Answer :

(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.

- Q.1 State the property that is used in each of the following statements? (i) If a \(\parallel \) b, then \(\angle \)1 = \(\angle \)5 (ii) If \(\angle \)4 = \(\angle \)6, then a \(\parallel \) b (iii) If \(\angle \)4 + \(\angle \)5 = 180°, then a \(\parallel \) b
- Q.2 In the given figure, identify (i) the pairs of corresponding angles. (ii) the pairs of alternate interior angles. (iii) the pairs of interior angles on the same side of the transversal.
- Q.3 the given figure, p \(\parallel \)q. Find the unknown angles.
- Q.4 Find the value of x in each of the following figures if l \(\parallel \)m
- Q.5 the given figure, the arms of two angles are parallel. If \(\angle \)ABC = 70°, then find (i) \(\angle \)DGC (ii) \(\angle \)DEF

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