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(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

Answer :

(i) Given a \(\parallel \)

So, \(\angle \)1 = \(\angle \)5 (Pair of corresponding angles)

(ii) Given: \(\angle \)4 = \(\angle \)6

So, a \(\parallel \) b [If pair of alternate angles are equal, then the lines are parallel]

(iii) Given: \(\angle \)4 + \(\angle \)5 = 180°

So, a \(\parallel \) b [If sum of interior angles is 180°, then the lines are parallel]

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

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