Math, asked by khalidk556, 9 months ago

State the property used in each of the following statement

Answers

Answered by rupinderkaur105
3

HEYA MATE

PLS,,TELL THE STATEMENTS ALSO

Answered by Anonymous
13

Question :-

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

Solution :-

(i) Given a || b

∴ ∠1 = ∠5 (Pair of corresponding angles)

(ii) Given: ∠4 = ∠6

∴ a || b [ alternate angles are equal, then the lines are parallel]

(ii) Given: ∠4 = ∠6

∴ a || b [If pair of alternate angles are equal, then the lines are parallel]

(iii) Given: ∠4 + ∠5 = 180°

∴ a || b [If sum of interior angles is 180°, then the lines are parallel]

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