Sarthaks Test
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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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(i) Given, a b then 1 = 5 [Corresponding angles] 

If two parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure. 

(ii) Given, 4 = 6, then a b [Alternate interior angles] 

When a transversal cuts two lines such that pairs of alternate interior angles are equal, the lines have to be parallel.

(iii) Given, 4 + 5 = 180°, then a b [supplementry angle]

 When a transversal cuts two lines, such that pairs of interior angles on the same side of transversal are supplementary, the lines have to be parallel.

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