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

To do:

We have to explain that does Euclid's fifth postulate imply the existence of parallel lines.

Solution:

Yes, Euclid’s fifth postulate does imply the existence of the parallel lines.

When the sum of the interior angles is equal to the sum of the right angles, then the two lines will not meet each other at any given point.

Hence, the lines are parallel to each other.

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Updated on: 10-Oct-2022

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