Question

does euclid's fifth postulate imply the existence of parallel lines? explain.​

Answer 1

Answer:

Yes

Step-by-step explanation:

Because when a transversal cuts a line it implies that the line is a straight line

Answer 2

Answer: YES It implies the existence of parallel lines.

Step-by-step explanation: Euclid's 5th postulate states that "If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles."

So, it means that it should be less than 90° , since angles between 2 parallel form exactly 90° it does not fit the criteria of "less than 90°" and the lines do not meet.