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State the property that is used in each ...

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.`

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To solve the question, we need to identify the properties used in each of the given statements regarding parallel lines and angles. ### Step-by-Step Solution: **(i)** If `/_a ||/_ b`, then `/_1 = /_5`. - **Property Used:** Corresponding Angles Postulate. - When two parallel lines are cut by a transversal, the corresponding angles are equal. In this case, angles 1 and 5 are corresponding angles. ...
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