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

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

If the sum of the interior angles will be equal to the sum of the two right angles


Then,


The two lines will not meet each other on either sides and therefore they will be parallel to each other.



For example,


m and n will be parallel if


Angle 1 + Angle3 = 1800


Or


Angle3 + Angle4 = 1800


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