2. Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.
Yes. Euclid's fifth postulate imply the existence of the parallel lines. According to Euclid's fifth postulate when a line x falls on a line y and z such that ∠1+ ∠2< 180°. Then, line y and line z on producing further will meet in the side of ∠1 arid ∠2 which is less than 180°.
