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(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.

Answer :

(i) The pair of corresponding angles are \(\angle \)1 and \(\angle \)5, \(\angle \)2 and \(\angle \)6, \(\angle \)4 and \(\angle \)8, \(\angle \)3 and \(\angle \)7.

(ii) The pairs of alternate interior angles are \(\angle \)2 and \(\angle \)8, \(\angle \)3 and \(\angle \)5.

(iii) The pairs of interior angles on the same side of the transversal are \(\angle \)2 and \(\angle \)5, \(\angle \)3 and \(\angle \)8.

- 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.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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