Select the property used to derive the conclusion that if a∥ b then $∠ 1 = ∠ 5$ .

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Parallel lines

Alternate interior angles

Corresponding angles

None of the above

answer is C.

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Detailed Solution

It is given a∥ b ,

∠ 1 = ∠ 5

In the given diagram

∠ 1

and

∠ 5

are corresponding angles since it is given that the lines are parallel to each other.
It is known that corresponding angles are equal to each other.
Hence option (3) is correct.

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