State the property that is used in each of the following statements ?(

1.	State the property that is used in each of the following statements ?(i) If a \|\| b, then ∠1 = ∠5(ii) If ∠4 = ∠6, then a \|\| b.(iii) If ∠4 + ∠5 = 180°, then a \|\| b.
Answer» (i) The two parallel lines a & b are cut by a transversal then ∠1 = ∠5 because they are corresponding angles. So they have equal measure. (ii) If ∠4 and ∠6 are equal measures they are interior alternate angles. So. a is parallel to b. (iii) Here two parallel lines are cut by transversal, ∠4 and ∠5 are pairs of interior angles on the same side of the transversal are supplementary.

State the property that is used in each of the following statements ?(i) If a || b, then ∠1 = ∠5(ii) If ∠4 = ∠6, then a || b.(iii) If ∠4 + ∠5 = 180°, then a || b.

Answer»

(i) The two parallel lines a & b are cut by a transversal then ∠1 = ∠5 because they are corresponding angles. So they have equal measure.

(ii) If ∠4 and ∠6 are equal measures they are interior alternate angles. So. a is parallel to b.

(iii) Here two parallel lines are cut by transversal, ∠4 and ∠5 are pairs of interior angles on the same side of the transversal are supplementary.