Q2   Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.

Answers (1)


According to Euclid's 5 postulates, the line PQ  falls on lines AB and CD such that the sum of the interior angles 1 and 2 is less than 180° on the left side of PQ. Therefore, the lines AB and CD will eventually intersect on the left side of PQ
Now,
If \angle 1+\angle 2 = 180\degree then, the line never intersects with each other.
Therefore, we can say  that lines AB and CD are parallel .to each other 

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