(i) Is l ॥ m? why?(ii) If l ॥ m and t is transveral than find the

1.	(i) Is l ॥ m? why?(ii) If l ॥ m and t is transveral than find the value of x.(iii) Is l ॥ m and why?
Answer» (i) In figure, alternate angles are equal ∴ l ॥ m (ii) In figure, l ॥ m and t is a transversal ∴ x + 70° = 180°, Sum of angles made by a transversal on its one side is 180°, ∴ x = 180°- 70° = 110° (iii) In figure, x = 180° – 130° = 50° ∴ Corresponding angles are equal ∴ l ॥ m

(i) Is l ॥ m? why?(ii) If l ॥ m and t is transveral than find the value of x.(iii) Is l ॥ m and why?

Answer»

(i) In figure, alternate angles are equal

∴ l ॥ m

(ii) In figure, l ॥ m and t is a transversal

∴ x + 70° = 180°,

Sum of angles made by a transversal on its one side is 180°,

∴ x = 180°- 70° = 110°

(iii) In figure, x = 180° – 130° = 50°

∴ Corresponding angles are equal

∴ l ॥ m