Answer :

(i) Let the angle opposite to 110° be y.

\(\therefore \) y = 110° (Vertically opposite angles)

\(\angle \)x + \(\angle \)y = 180° (Sum of interior angle on the same side of transversal)

\(\angle \)x + 110° = 180° .

\(\therefore \) \(\angle \)x = 180° – 110° = 70°

Thus x= 70°

(ii) \(\angle \)x = 110° (Pair of corresponding angles)

- 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.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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