Question

does Euclid's fifth postulate imply the extenence of parallel line explain

Answer 1

Yes. Euclid's fifth postulate is imply for parallelism of lines because if a straight line l falls on two straight lines m and n such that sum of the interior angles on one side of l is two right angles, then by Euclid's fifth postulate the line will not meet on this side of l.and if the sum of interior angles on one side of l is less than two right angles then...if m and n will be extended...they will meet at a point