2.Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.
i.e., $$\angle{1}$$ + $$\angle{2}$$ = $$180^\circ$$.
Then, line y and line z on producing further will meet in the side of $$\angle{1}$$ and $$\angle{2}$$ which is less than $$180^\circ$$.
We find that the lines which are not according to Euclid’s fifth postulate. i.e., $$\angle{1}$$ + $$\angle{2}$$ = $$180^\circ$$, do not intersect.