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Question

Write whether the following statement is True or False? Justify your answer:

Two distinct intersecting lines cannot be parallel to the same line.

A
True
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B
False
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Solution

The correct option is A True
Euclid's fifth Postulate: If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

Since it is an equivalent version of Euclid's fifth postulate.

Hence, the given statement is true.

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